Select a linear combination of the standard unit vectors i and j of given initial and terminal points of a vector. Initial Point
Terminal Point
(-9,7)
(0,2)

A)-9i - 5j
B)-5i + 9j
C)-5i - 9j
D)9i - 5j
E)9i + 5j

Question

Select a linear combination of the standard unit vectors i and j of given initial and terminal points of a vector. Initial Point
Terminal Point
(-9,7)
​(0,2)
​
A)-9i - 5j
B)​-5i + 9j
C)​​-5i ​- 9j
D)​9i - 5j
E)​9i + 5j

Quizplus · Accepted Answer

To find the linear combination of i and j, we need to find the differences between the terminal and initial points in the x and y directions. That is:

Terminal x - Initial x = 0 - (-9) = 9
Terminal y - Initial y = 2 - 7 = -5

Thus, the linear combination is 9i - 5j, which is option D.

Select a Linear Combination of the Standard Unit Vectors I