Question

Determine the projection of w onto v. U=9i-6j, v= -3i-2j, w=19i+15j

Answer 1

w·v = -87

Explanation:

The projection of a vector on another vector is given by the dot product between the vectors.

Thus, you calculate the dot product between w and v:

`\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87`

So, the projection of w on v is -87