Question

Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP

Answer 1

<1, 3>, square root of ten

Explanation:

Answer 2

The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is
(1,3) or

`\vec{QP} = \hat{i} + 3\hat{j}`

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:

`\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)`
The magnitude is √(10).