Answered

Vector v is shown in the graph.

graph of vector v with initial point at 2 comma 6 and terminal point at 5 comma negative 3

Which of the following represents the linear form of v?

v = –3i + 9j
v = 3i – 9j
v = –9i + 3j
v = 9i – 3j



Answer :

The graph of vector v with an initial point at (2, 6) and terminal point at

(5, -3). Thus, v = 3i - 9j represents the linear form of v.

How to find the vector component?

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

c

Given;

The graph of vector v with an initial point at (2, 6) and terminal point at

(5, -3).

v = (5 - 2)i + (-3 - 6)j

v = (3)i + (-9)j

v = 3i - 9j

Thus, v = 3i - 9j represents the linear form of v.

Learn more about vectors;

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