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

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Question 875097: Given the following vectors:
c = i - 2j
d = 5i - 3j + 2k
Find c(dot)c x d. My answer is 0 but the provided solution is 2.
My working:
As the cross product is between two vectors, the cross multiplication has to be done first (the dot product is scalar).
c x d = [(-2*2)-(0*-3)]i - [(1*2)-(0*5)]j + [(1*-3)-(-2*5)]k
= -4i - 2j + 7k
c(dot)c x d = (1*-4)+(-2*-2)+(0*7) = 0
Can you see a mistake in my working? Thank you in advance.
Click here to see answer by jim_thompson5910(35256)

Question 875890: If vector a = 3i + 2j and vector b = 7i + 4j, find vector a + vector b as
a. a sum of two components
b. a magnitude and angle in standard position
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Question 877154: f(x)=x^3-1 equation that would translate this function up 2 units
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Question 882303: points A(3,-5,1) and B(2,1,2) and C (1,-3,3) lie on a plane. Find the exact distance from X (2,-1,3) to the plane
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Question 889682: Determine whether the following two planes x+4y-z = 7 and 5x-3y-7z = 11 are parallel, orthogonal, coincident (that is, the same) or
none of these.
Click here to see answer by Edwin McCravy(20054)

Question 892494: A 500 lira coin is dropped from the leaning tower of pisa.It starts from rest and falls freely.Compute its position and velocity after:1 second , 2 seconds, 3seconds.(It is a free fall motion problem sorry if wrong category i just need help please urgent we still have class after an hour thank you :)) any answers would be greatly appreciated by me. thanks
Click here to see answer by richwmiller(17219)

Question 894376: Evaluate [i, j, k] + [i, k, j]
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Question 897841: Determine the fourth roots of 16 in the form x+iy.where x and y are not trigonometric functions

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Question 897841: Determine the fourth roots of 16 in the form x+iy.where x and y are not trigonometric functions

Click here to see answer by stanbon(75887)

Question 921219: given a=2i-j+2k and b=i+3j-2k, find
a) the cosine of the angle between the two vectors
b) |axb|
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Question 921546: x/5+3/7=1/5
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Question 921549: x/5-3/7=1/5
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Question 921549: x/5-3/7=1/5
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Question 924445: (x-y)2,x3-y3
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Question 927873: For an A.P. d= -3 and t31 = -7. What is the first term(a)?
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Question 927953: Write the complex number z = 2 + 6i in polar form: z = r(cos theta + i sin theta) where r=? and theta=?. The angel should satisfy 0<=theta<2pi.
Found r which is sqrt(40) but cant find theta. Please help!
Click here to see answer by Alan3354(69443)

Question 928226: Solve
A block weighing 90 lb rests on a 15 degree incline. Find the magnitude of the components of the block's weight perpendicular and parallel to the incline. Please help, I'm so confuse about this problem
Click here to see answer by KMST(5328)

Question 928441: Given the magnitudes of vectors u and v and the angle theta between them, find the magnitude of the sum u+v? and the angle that the sum vector makes with u to the nearest degree. |u|=57, |v|=57, theta=12 degree
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Question 928440: A block weighing 90 lb rests on a 15degree incline. Find the magnitude of the components of the block's weight perpendicular and parallel
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Question 846484: The tenth term of an arithmetic sequence is 42 more than the seventh term.If the first term is -14.Find the second term of the sequence?
Click here to see answer by tommyt3rd(5050)

Question 946572: Two paths diverge at a 48 degree angle. Two mountain bike riders take seperate routes at 8 km an hour and 12 km an hour. How far apart are they after 2 hours?
Click here to see answer by Alan3354(69443)

Question 948032: Hello.I would really appreciate some help here: Determine the equation of both lines that are tangent to the graph y=x^2+4 that pass through the point (1,-2)
Click here to see answer by Alan3354(69443)

Question 948930: y=-4x+3

Click here to see answer by Fombitz(32388)

Question 954781: a^2-8a+12 solve for a
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Question 956854: Find the x-intercept and y-intercept of the line
6x-7y=10
Click here to see answer by amarjeeth123(569)

Question 957033: 4x^2(a + b) + 4x^2(a - b) how do I factorise this

Click here to see answer by jim_thompson5910(35256)

Question 963749: the scalar product of vector p ,with the vectors i-3k , i-2j and i+j+4k are o,5 and 8 respectively. find the vector p.
Click here to see answer by Fombitz(32388)

Question 968332: A triangle is defined by the three points:
A=(5,2)
B=(7,5)
C=(8,4).
Determine all three angles in the triangle (in radians).
θa =
θb =
θc =
Click here to see answer by Edwin McCravy(20054)

Question 969992: Using the two column vectors A and B given below
A = and B = ,
find 3A + B
Click here to see answer by Edwin McCravy(20054)

Question 969994: Find the vertical and horizontal components of the vector in
𝑎̅ = (−4
0),
and 𝑏̅ = (−9
2)

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Question 967880: Find the angle between the vector a=< sqrt(3),-1> and b=<0,11>. Answer in radians.
Click here to see answer by Edwin McCravy(20054)

Question 972955: Hello, i have this problem
Find a*b
a = 2i-j , b = j-3k
I've tried this so far: 2i-j*j-3k = 2i-3k-j
I feel like this is so wrong.
I'd appreciate an explanation on how to handle vectors with an "i", "j", "k" etc behind them. Also, what are these called?
Thanks

Click here to see answer by MathLover1(20849)

Question 973126: Give the component form of the resultant vector in the following.
NOTE: Answer must be typed in using the following format -- including the parentheses: (#,#).
u = (10, 5)
-3u = ?
Click here to see answer by rothauserc(4718)

Question 973235: every time I put this in the calculator it tells me syntak error would appreciate some help on this
Click here to see answer by Alan3354(69443)

Question 973137: Find the magnitude and direction angle θ of the following vectors. Round the magnitude to the nearest tenth, and round the direction angle to the nearest degree, if rounding is necessary.
v = (-5, -2)
Click here to see answer by Theo(13342)

Question 973333: Give the component form of the resultant vector in the following.
NOTE: Answer must be typed in using the following format -- including the parentheses: (#,#)
u = (16, -8)
v = (-5, 3)
u + v = ?
Click here to see answer by jim_thompson5910(35256)

Question 973338: Find the magnitude and direction angle θ of the following vectors. Round the magnitude to the nearest tenth, and round the direction angle to the nearest degree, if rounding is necessary.
u = (9, -2)
Click here to see answer by stanbon(75887)

Question 974514: Pls help out :A man walks 8km north and then 5km in a direction east of north. Find the distance from the starting point
Click here to see answer by Alan3354(69443)

Question 974564: What is the product of 5 and q

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Question 974721: Given u=(5,-3) and v=(2,9) find the dot product of 2u times v. Thanks
Click here to see answer by Fombitz(32388)

Question 975556: starting from origin a partical first moves to a point A(2,3,4,) and then moves to ponit B(4,5,6).find the vector OA ,its magnitude & direction
Click here to see answer by Fombitz(32388)

Question 976985: What is the unit vector directed oppositely to the vector <-4i + j + 4k>?
(My approach was to find the unit vector first, then reverse the signs. is this correct?)
Thank you for your time and help!!
Click here to see answer by jim_thompson5910(35256)

Question 978320: A vector u with a magnitude of 150 lbs is inclined to the right and upward 52� from the horizontal. Resolve the vector into components.
(A) horizontal≈ 135 lbs; vertical≈ 65 lbs
(B) horizontal≈ 118 lbs; vertical≈ 92 lbs
(C) horizontal≈ 78 lbs; vertical≈128 lbs
(D) horizontal≈92 lbs; vertical≈118 lbs
(E) none of the above

Click here to see answer by stanbon(75887)

Question 979628: Please help me with this vectors problem:
Given vectors of magnitude 3 and 4 with an angle between them of 90�, find the magnitude of the resultant.
Thank you in advanced.
Click here to see answer by Alan3354(69443)

Question 979889: Please help me with this vectors problem:
Given vectors of magnitude 3 and 4 with an angle between them of 80�, find the magnitude of the resultant.
Enter answer accurate to two decimal places.
Thank you in advanced.
Click here to see answer by Alan3354(69443)

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