If A=-a_x +6a_v +5a_z and B=a_x +2a_y +3a_x, find the vector projection of B on A

Massatfy 2022-08-08 Answered
If A = a x + 6 a v + 5 a z   a n d   B = a x + 2 a y + 3 a x , find the vector projection of B on A
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

kunstdansvo
Answered 2022-08-09 Author has 16 answers
Vector projection of B on A is, B A = B A | A | A | A |
B A = ( 1 , 2 , 3 ) ( 1 , 6 , 5 ) 62 ( 1 , 6 , 5 ) 62 = 26 62 ( 1 , 6 , 5 )
B A = 13 31 ( 1 , 6 , 5 ) = 13 31 ( a x + 6 a y + 5 a z )
Note: Here a x , a y   a n d   a z are considered as an Orthogonal set
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-02-11
Let F be a fixed 3x2 matrix, and let H be the set of all matrices A in M2×4 with the property that FA = 0 (the zero matrix in M3×4). Determine if H is a subspace of M2×4
asked 2021-05-17
Find the scalar and vector projections of b onto a.
a=(4,7,4),b=(3,1,1)
asked 2021-05-29
Which of the following expressions are meaningful? Which are meaningless? Explain.
a) (ab)c
(ab)c has ? because it is the dot product of ?.
b) (ab)c
(ab)c has ? because it is a scalar multiple of ?.
c) |a|(bc)
|a|(bc) has ? because it is the product of ?.
d) a(b+c)
a(b+c) has ? because it is the dot product of ?.
e) ab+c
ab+c has ? because it is the sum of ?.
f) |a|(b+c)
|a|(b+c) has ? because it is the dot product of ?.
asked 2021-05-29
Find a vector equation and parametric equations for the line segment that joins P to Q.
P(0, - 1, 1), Q(1/2, 1/3, 1/4)
asked 2022-07-23
Why can v x , v y in v = ( z , z , z ) contain the z variable?
asked 2021-12-18
How to find a unit vectors are orthogonal to both i+j and i+k?
asked 2022-08-16
Given two lines:
r 1 ( t ) = ( a 1 , b 1 , c 1 ) + t ( p 1 , q 1 , r 1 )
r 2 ( s ) = ( a 2 , b 2 , c 2 ) + s ( p 2 , q 2 , r 2 )
I have calculated the cross product of the direction vectors to get the vector perpendicular to both lines:
n = ( p 1 , q 1 , r 1 ) × ( p 2 , q 2 , r 2 )
Which gives the vector n .
I then got a vector V between a point on each line, and calculated the minimum distance d between both lines by finding the scalar projection of V onto n
d = | V n | | n |
I now need the points on both lines where this minimum distance is achieved, how would I go about doing that?

New questions