Question

Determine the projection of w onto u.

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer:

A.6.2i-4.2 j

Step-by-step 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

=$\frac{a\cdot b}{\mid b\mid^2}b$

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

$\mid u\mid=\sqrt{x^2+y^2}=\sqrt{9^2+(-6)^2}=\sqrt{117}$

Using the formula

The projection of w on to u

$=\frac{u\cdot w}{\mid u\mid^2}(u)=\frac{81}{117}(9i-6j)$

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

Hence, option A is true.