Question

Vector u = <11, 12>, v = <-16, 6>, and w = <4, -5>.

Match each vector operation with its resultant vector expressed as a linear combination of the unit vectors i and j. Not all tiles will be used.

3u-2v+w ➝ ________
8u-6v ➝ _______
7v-4w ➝ _______
u-5w ➝ _______

*Options*
184i+60j
69i+19j
69i+37j
-9i+37j
-128i+62j
184i+19j
-9i+62j

Answer 1

see attachment

Explanation:

I find the arithmetic tedious, so I like to let a calculator or spreadsheet do it. The components of the sum are the sums of the components.

___

For example, ...

u - 5w = <11, 12> - 5×<4, -5>

= <11 -5·4, 12 -5·(-5)>

= <-9, 37>

= -9i +37j