Question

Determine the projection of w onto u.

u=9i-6j
v=-3i-2j
w=19j+15j

Answers:
A. 6.2i-4.2j
B. 67.3i-44.9j
C. 2.6i-2.1j
D. 63.6i-50.2j

Answer 1

a

Explanation:

Answer 2

A.6.2i-4.2 j

Explanation:

We are given that

`u=9i-6j`

`v=-3i-2j`

`w=19i+15j`

We have to find the projection of w on to u.

The project of vector a on b

=
`(a\cdot b)/(\mid b\mid^2)b`

`w.u=(19i+15j)\cdot (9i-6j)=171-90=81`

`\mid u\mid=√(x^2+y^2)=√(9^2+(-6)^2)=√(117)`

Using the formula

The projection of w on to u

`=(u\cdot w)/(\mid u\mid^2)(u)=(81)/(117)(9i-6j)`

The projection of w on to u=6.2i-4.2j

Hence, option A is true.