Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

Tutors Answer Your Questions about Vectors (FREE)

Question 984520: A pilot is flying at an air speed of 241mph in a wind blowing 20.4mph from the east. In what direction must the pilot head in order to fly due north? What is the pilots speed relative to the ground?
(Round the bearing to the nearest tenth of a degree and the speed to the nearest tenth of a mph.)
Enter your answer as (bearing, compass direction, speed), where compass direction is either E or W and the bearing is given in degrees.
Thank you kindly.
Click here to see answer by Alan3354(69443)

Question 984482: Please help me solve and explain how to solve the following problem:
Given two forces of 12Ib and 19Ib, forming an angle of 92�, find the magnitude of the resultant force. (Round answer to the nearest pound.)
Thank you kindly.
Click here to see answer by Edwin McCravy(20054)

Question 984462: Given two forces of 12Ib and 19Ib, forming an angle of 92�,find the magnitude of the resultant force. (Round answer to the nearest pound.)
Click here to see answer by Fombitz(32388)

Question 984457: Given two forces of 12Ib and 19Ib, forming an angle of 92�, find the magnitude of the resultant force. (Round answer to the nearest pound.)
Thank you.
Click here to see answer by Fombitz(32388)

Question 986016: The difference between the product of four and a number and 6

Click here to see answer by jim_thompson5910(35256)

Question 986751: n object, that remains at rest, is acted upon by three forces F1, F2 and F3. The component forms of F1 and F2 are given by
F1 = ai + bj and F2 = ci + dj
where a = -198, b = 2, c = 71 and d = -40. If the component form of F3 is of the form F3 = xi + yj
then what is the value of x?
Click here to see answer by Fombitz(32388)

Question 986748: To 2 decimal places, what is the magnitude of the vector whose column form is
p
( )
q
where p = -18 and q = -26?
Click here to see answer by Fombitz(32388)

Question 986744: What is the direction, in degrees and to 2 decimal places, for the vector whose column form is
a
( )
b
where a = 13 and b = 3? Do not give any units in your answer. Your answer must be between -90 and 270.
Click here to see answer by solver91311(24713)

Question 986750: What is the direction in degrees that corresponds to the bearing S 60o W? Do not give any units in your answer. As usual, your answer should consist only of a number. Your answer must be between -180 and 179.
Click here to see answer by Boreal(15235)

Question 986745: The magnitude of vector a is 17, and the magnitude of vector b is 18.
The direction, in degrees, for the vector a is 97, and the direction, in degrees, for the vector b is -6.
What is the magnitude, correct to 2 decimal places, of the vector r, where r = a + b?
Click here to see answer by Fombitz(32388)

Question 987374: To 2 decimal places, what is the magnitude of the vector whose column form is
(p
q)
where p = -18 and q = -26?
Click here to see answer by Cromlix(4381)

Question 987373: What is the direction, in degrees and to 2 decimal places, for the vector whose column form is
(
a
b
)
where a = 13 and b = 3? Do not give any units in your answer. Your answer must be between -90 and 270.
Click here to see answer by Cromlix(4381)

Question 988570: Find the magnitude and direction cosine of vector A, B, C, (A+B)

Click here to see answer by Fombitz(32388)

Question 995158: Two sides of a triangle are formed by the vector A=3i+6j-2k and vector B=4i-j+3k determine area of triangle
Click here to see answer by Alan3354(69443)

Question 998493: Two forces have magnitudes of 21 N and 24 N and the angle between them is 65�. Find the magnitude of the resultant and the angle it makes with the larger of the two forces (1 dp)
resultant force (N) ≈
angle (�) ≈
THANK YOU
Click here to see answer by ikleyn(52780)

Question 998488: Two forces have magnitudes of 38 N and 29 N and the angle between them is 156�. Find the magnitude of the resultant and the angle it makes with the larger of the two forces (1dp)
resultant force =
angle =
This is what I had, but it was not correct:
Angle = 180 - 156 = 24�
RF = sqrt [38�+29�- 2*38*29*cos24] = 16.5 N
Θ = arcsin[29/RF]*sin24� = 45.7�
However, both my answers are not correct
THANK YOU
Click here to see answer by ikleyn(52780)

Question 998490: A yacht sails 18 km on a bearing 324� followed by 6 km on a bearing 132�.
Calculate the distance (in km to the nearest 0.1 km) and bearing (to the nearest degree) of the yacht's final position from its initial position.
distance (km) ≈
(I had 13.3 but i do not think it is correct?)
bearing (�) ≈
THANK YOU
Click here to see answer by Alan3354(69443)

Question 998492: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h.
State the true velocity of the wind in i, j vector form.
velocity (km/h) =
What is the speed of the wind?
speed (km/h) =
Taking i as due East, what is the direction of the wind (in standard bearing notation) to the nearest degree?
bearing (�) ≈
THANK YOU
Click here to see answer by ikleyn(52780)

Question 998952: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h.
State the true velocity of the wind in i, j vector form.
velocity (km/h) = 16i + 13j
What is the speed of the wind?
speed (km/h) = 20.6
I'm stuck on the last part:
Taking i as due East, what is the direction of the wind (in standard bearing notation) to the nearest degree?
bearing (�) ≈
THANK YOU!
Click here to see answer by rothauserc(4718)

Question 1000520: Ship A has position vector (9 i + 3 j) km. Relative to an observer on a second ship B, ship A has position vector (−9 i − 2 j) km.
What is the position vector of ship B?
I had -18i -5j
However, both values are not correct
THANK YOU
Click here to see answer by KMST(5328)

Question 1000518: Suppose
a = 2 i + 5 j and b = 9 i − 4 j
a � b =
I have this as -2
Also give the angle between the vectors in degrees to one decimal place.
This is the part I am stuck on
THANK YOU
Click here to see answer by ikleyn(52780)

Question 1004550: Can you give me an example of connecting vectors that form a polygon?
How can I get the resultant vector?
My teacher said that if a vector starts at the origin and the last vector ends at the origin, it is in equilibrium.
Thank you!😃
Click here to see answer by Fombitz(32388)

Question 1004797: The variable Z is inversely proportional to X. When X is 3, Z has the value 6.3333333333333.
What is the value of Z when X = 8

Round to at least the thousandths place if needed.

Click here to see answer by MathLover1(20849)

Question 1006089: a)Find the unit vector from the point P=(3,1) and toward the point Q=(18,9)
b)Find a vector of length 34 pointing in the same direction.
Click here to see answer by Fombitz(32388)

Question 1006183: find two vectors v1 and v2 whose sum is <3,-2> where v1 is parallel to <-4,5> while v2 is perpendicular to <-4,5>
v1=
v2=
Click here to see answer by jim_thompson5910(35256)

Question 1006183: find two vectors v1 and v2 whose sum is <3,-2> where v1 is parallel to <-4,5> while v2 is perpendicular to <-4,5>
v1=
v2=
Click here to see answer by AnlytcPhil(1806)

Question 1006181: Consider the three points:
A=(2,1)
B=(6,3)
C=(9,7)
Determine the angle between AB and AC
Click here to see answer by josgarithmetic(39617)

Question 1006181: Consider the three points:
A=(2,1)
B=(6,3)
C=(9,7)
Determine the angle between AB and AC
Click here to see answer by MathTherapy(10552)

Question 1006182: A triangle is defined by the three points:
A=(4,5)
B=(7,9)
C=(10,8)
Determine all three angles in the triangle(in radians)
Click here to see answer by Boreal(15235)

Question 1005430: Two airplanes start at same point. Plane A travels 250 km east and plane B travels 180 km North. What is the vector difference of these two displacement?
Click here to see answer by Fombitz(32388)

Question 1011207: Find a vector perpendicular to the given vector 2i+9j-6k
Please Show all your work step by step.
Click here to see answer by mathmate(429)

Question 1011206: Find a vector perpendicular to the given vector <5,-7,-8>
Show all your work step by step.
Click here to see answer by Alan3354(69443)

Question 1011206: Find a vector perpendicular to the given vector <5,-7,-8>
Show all your work step by step.
Click here to see answer by rothauserc(4718)

Question 1011206: Find a vector perpendicular to the given vector <5,-7,-8>
Show all your work step by step.
Click here to see answer by Edwin McCravy(20054)

Question 1011203: The motor of a small boat produces a speed of 2 mph in still water. The boat is travelling in flowing water with a current velocity given by . In what direction should the boat head to travel due east? (Represent the direction with a unit vector.)
Click here to see answer by stanbon(75887)

Question 1011424: What is the slope of the line y=-2?
Click here to see answer by Alan3354(69443)

Question 1011424: What is the slope of the line y=-2?
Click here to see answer by Theo(13342)

Question 1011424: What is the slope of the line y=-2?
Click here to see answer by MathLover1(20849)

Question 1012194: Hi, I'm having trouble with the problem h(x) = -16x^2 + 64x + 140 where h(x) equals the height. I'm trying to find the height, but I'm not sure how to. When asked to write the quadratic function in vertex form I came up with f(x) = 16(x+2)^2-56.
Thanks.
Click here to see answer by josgarithmetic(39617)

Question 1012565: A bucket holds somewhere between 100and150 LTS of water. If we fill as many 3 Lt containers as we can from this bucket, we will be left with a Lt of water. If we fill as many as 4 Lt container from this bucket, we will be left with a liter of water.if we fill as many as 5 Lt container as we can from this bucket we will o CE again be left with a liter of water. What is the capacity of the bucket?
Click here to see answer by algebra hello(55)

Question 1020597: M=100-k
Click here to see answer by ikleyn(52780)

Question 1023507: Please Help Me With This: Show That The Vectors a=5i+3j+3k, b=3i-3j+k, c=7i+8j+5k are collinear
Click here to see answer by ikleyn(52780)

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