Question

given that u=(-3,4) and vector v has an initial point of (7,0) and a terminal point of (-5,2), find 2v-3u and express your answer as a linear combination of i and j

Answer 1

Answer:

$\vec r = -42\cdot i + 14\cdot j$

Step-by-step explanation:

The resultant vector is calculated as follows:

$\vec r = 2\cdot (-3,4) + 3\cdot (-5-7,2-0)$

$\vec r = (-6, 8) + 3\cdot (-12,2)$

$\vec r = (-6,8) + (-36,6)$

$\vec r = (-42, 14)$

The answer as a linear combination of i and j is:

$\vec r = -42\cdot i + 14\cdot j$