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

Tutors Answer Your Questions about Vectors (FREE)

Question 1080068: Find the remaining sides of a 30�-60�-90� triangle if the longest side is 11. (Enter your answers as a comma-separated list.)
Click here to see answer by MathTherapy(10551)

Question 1080584: 7. Find the cube roots of 1-i
Click here to see answer by Fombitz(32388)

Question 1080601: Perform operation, write answer in rectangular form [3cis135�][2cis105�]
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Question 1080600: Perform operation, write answer in rectangular form 4cis270�/2cis90�
Click here to see answer by rapture(86)

Question 1080600: Perform operation, write answer in rectangular form 4cis270�/2cis90�
Click here to see answer by Fombitz(32388)

Question 1080599: 4. 2 leashed dogs are held with the same hand. One dog pulls with a force of 15 lbs at an angle of 25 degrees to the person's right. The other dog pulls with a force of 20 lbs at an angle of 35 degrees to the person's left.
What is the minimum force the person must use to restrain the dogs?
Click here to see answer by jim_thompson5910(35256)

Question 1083664: F=-4i+3j
Find the vector opposite f
What does this mean?
Click here to see answer by ikleyn(52778)

Question 1084407: If I've: (U-3V)=(1;5) and (-U+V)=(-5;3)
What's the angle between U and V?? Thank you VERY MUCH !!
Click here to see answer by jim_thompson5910(35256)

Question 1084407: If I've: (U-3V)=(1;5) and (-U+V)=(-5;3)
What's the angle between U and V?? Thank you VERY MUCH !!
Click here to see answer by rothauserc(4718)

Question 1084493: Write an exponential function in the form y=ab^x+c with asymptote y=-5, passing through points (0,1) and (2,31)

Click here to see answer by htmentor(1343)

Question 1084399: The vector x and y are unit vectors (vectors with the magnitude 1) that make an angle of 30 degrees with each other.
a)calculate the value of |2x-y|
b)determine the direction of 2x-y
Click here to see answer by mathmate(429)

Question 1086766: Find a unit vector normal to the plane containing w = i and v = j .
a. u= (sqrt2/2)k
b. u=k
c. u= (sqrt3/3)k
d. u= (sqrt2/2)j
Thanks in advance!
Click here to see answer by ikleyn(52778)

Question 1088280: Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 25, direction angle θ = 30�
Click here to see answer by ikleyn(52778)

Question 1091402: Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <1, -2>, v = <-4, 8>
Please explain why.
Click here to see answer by ikleyn(52778)

Question 1091437: Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
Click here to see answer by math_helper(2461)

Question 1091437: Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
Click here to see answer by ikleyn(52778)

Question 1091505: Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40� and 170�, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Can you please show all the work so I understand? Thank you.
Click here to see answer by addingup(3677)

Question 1091486: Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40� and 170�, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Please show work so i can understand!!
Click here to see answer by rothauserc(4718)

Question 1091550: Given that the vectors, a and b are non-parallel and (2p -1)a = (q+2)b , find the value of p and of q .

the answer paper shows that 2p-1 = 0 and q+2 =0
I have no idea why they are equal to zero ...
I thought it was vector a + vector b equal to zero
Click here to see answer by ikleyn(52778)

Question 1094054: At 1 PM a car traveling at a constant velocity of 99 km/h towards the west is 21 km to the west of our school. How far from the school will be at 3:30 PM ?
Click here to see answer by ikleyn(52778)

Question 1095299: Demonstrate that vectors (1,0,0),(0,1,0),(0,0,1),(0,1,1) are not an efficient spanning set by showing that an arbitrary vector in R3 can be expressed in more than one way as a linear combination of these vectors.
I have (a,b,c)=a(1,0,0)+b(0,1,0)+c(0,0,1)+0(0,1,1)
I need one more example with different scalers.
Click here to see answer by ikleyn(52778)

Question 1096928: using algebra decide whether lines k1 and k2 are perpendicular then graph the ltnes to check your answer line k1 y=-3/4x+2 line k2 y=4/3x+5 dont know how to graph it
Click here to see answer by josgarithmetic(39617)

Question 1098096: Vectors A and B are at right angles. Find the magnitude and direction (from vector A) of the resultant.
A = 11.8
B = 35.8

A) R = 37.7, θ = 18.2�

B) R = 37.7, θ = 71.8�

C) R = 6.9, θ = 71.8�

D) R = 6.9, θ = 18.2�
Click here to see answer by Alan3354(69443)

Question 1098100: Determine the quadrant containing the terminal side of θ under the given conditions.
csc θ > 0 and sec θ > 0
Click here to see answer by ikleyn(52778)

Question 1102234: Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <7, -4>, v = <-28, 16>

please help! thanks :)
Click here to see answer by Alan3354(69443)

Question 1102462: Write parametric equations of the line 2x+3y=11
Click here to see answer by Theo(13342)

Question 1102460: Write the equation of the line with the parametric equations x=2t and y=1-t in slope intercept form.
Click here to see answer by Alan3354(69443)

Question 1102956: Two forces, one of 100 pounds and the other 150 pounds act on the same object, at angles of 20 degrees and 60 degrees, respectively, with the positive x axis. Find the direction and magnitude of the resultant of these forces.
Thanks in advance!
Click here to see answer by richwmiller(17219)

Question 1102957: Two forces, one of 100 pounds
Click here to see answer by richwmiller(17219)

Question 1103781: Which one of the following is a function?
3x � y^2 = 9
3x � y = 9
3x^2 � y^2 = 9
Click here to see answer by Edwin McCravy(20054)

Question 1109721: Use the vectors u = <2, 2>, v = <-3, 4> and w = <1, -2> to find the indicated quantity.

a. 3u ∙ v

b. (u ∙ 2v)w
Thanks!
Click here to see answer by math_helper(2461)

Question 1109721: Use the vectors u = <2, 2>, v = <-3, 4> and w = <1, -2> to find the indicated quantity.

a. 3u ∙ v

b. (u ∙ 2v)w
Thanks!
Click here to see answer by rothauserc(4718)

Question 1111466: Let u = <-5, 1>, v = <7, -4>. Find 9u - 6v
Click here to see answer by math_helper(2461)

Question 1114411:
Click here to see answer by Alan3354(69443)

Question 1114443: Find the vector equation for the line of intersection between r.(4i + 3j + 7k) = 12 and r.(2i + j + 3k) = 4
Click here to see answer by Fombitz(32388)

Question 1114531: Find the scalar and vector products of the vectors A and B, where A = 2i + j + k and B = 4i + 2j - 3k, also find the angle between A and B
Click here to see answer by Alan3354(69443)

Question 1114535: Unit vector which are perpendicular to vector 2i - j - 3k and lie in the plane of vector 7i - j - k and i + 5j - 3k
Click here to see answer by Fombitz(32388)

Question 1115973: 1. Let v be the vector (3 over p), such that |v| = 17. Calculate all possible values of p.

Click here to see answer by stanbon(75887)

Question 1117162: Given that a = 5i + 9j - 2k and b = -3i - 7j + 4k, find the direction cosines and a unit vector in the direction of 6a + 3b.
Click here to see answer by Fombitz(32388)

Question 1117250: An airplane is flying 340 km/hr at 12 degrees East of North. The wind is blowing 40 km/hr
at 34 degrees South of East. What is the plane�s actual velocity?

Click here to see answer by stanbon(75887)

Question 1117640: Hello,
Please help me to solve a vector problem.
Given the vectors:
a=i+2y-k
b=2i-y+k
c=i+2k
Find vectors:
a+2b-c
a*c
c�a
(a*b)�c
Thank you very much!

Click here to see answer by Alan3354(69443)

Question 1118625: The dot and cross products of U with A are given by A.U = C, A�B = B. Exprrss U in terms of A, B and C also prove that A�(B�U) = B(A.U)-U(A.B)
Click here to see answer by math_helper(2461)

Question 1120693: A, B, C, D have coordinates (0,1,3), (4,5,-5), (-3,0,-1) and (7,5,4) respectively.
Justify whether ABCD is a parallelogram.
Click here to see answer by Alan3354(69443)

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