Find the projection of the vector a = î - 2ġ + k on the vector b = 4 i - 4ſ + 7k. 15. given the vectors a = 2 i +3 ſ +6k and b = i +59 +3k. how much of vector b is along vector a?

Part 1) Projection of A along B is 19 units

Part 2) Projection of B' along A' is 35 units.

Step-by-step explanation:

The projection of any vector A on another vector B is given by the dot product between the two vectors

Given vector A

And Vector B

The dot product between them is given by

Comparing with the given vectors we have

for vector A

a = 1 ,b = -2, c =1

For vector B

l = 4, m = -4, n = 7

Thus the projection of A along B is

Part b)

For the second case

and

Thus the projection of B along A is

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value