The vector v has initial point P(1, 0) and terminal point Q that is on the y-axis and above the initial point. Find the coordinates of terminal point Q such that the magnitude of the vector v is 65 .

The terminal point is Q(0,4)

Step-by-step explanation:

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q lies on the y-axis, thus Q have coordinates of the form:

The magnitude of the vector is

Magnitude is given by:

But since the terminal point is above the initial point, thus,

Thus, the terminal point is Q(0,4)

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step-by-step explanation: