Given that p = (-5, 11) and q = (-6, 4), find the component form and magnitude of vector qp.

Answer and Step-by-step explanation:

We see that the vector is written a QP.

Usually, when finding the vector in component form, it is in this form.

PQ = < q1 - p1,q2 - p2> = <v1,v2> = v

In this situation, Q and P are switched.

QP = < p1 - q1, p2 - q2> = <v1,v2> = v

Now, we plug in our values.

QP = < -5 - -6, 11 - 4 > = < 1 , 7 >

The component form of our vector is <1, 7>

To find the magnitude, we do this:

We already got the first part of this formula, so we plug in our vector into the second portion of the formula.

This simplifies down to , but the answer choice we are given shows

The magnitude of vector QP is .

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