Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .

Let u = <4, 8>, v = <-2, 6>. Find u + v.

a)The component form is

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

We substitute the position vectors to get:

We subtract the corresponding components to obtain:

This gives:

This simplifies to:

The magnitude of a vector in the component form:

is

This means:

This simplifies to:

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

it has changed from the width and the height.

step-by-step explanation: