Question

Find the component form of -u -v given that u=<-5,6> and v=<7,-3>

A) <12, 9>
B) <2,3>
C) <-2,-3>
D) <-12,-9>

Answer 1

C

Explanation:

We need to find -u -v

If we have a vector <a,b>, the vector -<a,b> would be <-a,-b>

So we have:

u=<-5,6> and v=<7,-3>

Thus,

-u - v = -<-5,6> - <7,-3>

= <5,-6> + <-7,3>

Whenever we are adding two vectors, we follow the rule shown below:

<a,b> + <c,d> = <a+c, b+d>

Thus, we simplify:

<5,-6> + <-7,3> = <5-7, -6+3> = <-2,-3>

Answer choice C is right.