Question

6. Find the components of the vector V with initial point P(-4,5) and terminal point

Q(-2,7).
(i) < -2,-2>
(iv) <-6, 12>
(ii) < 8,35 >
(iii) <2, 5/7>
(v) <2,2>
(vi) not listed

Answer 1

Okay, let's break this down step-by-step:

The initial point is P(-4, 5)

The terminal point is Q(-2, 7)

To find the components of the vector V, we need to determine:

The change in x-coordinate = -4 - (-2) = -2

The change in y-coordinate = 5 - 7 = -2

So the vector components are:

<change in x-coordinate, change in y-coordinate>

= <-2, -2>

Therefore, the answer is choice (i): < -2,-2>

The other choices do not represent the correct changes between the given points P and Q.

Explanation: