# Vectors eAssessment

## Position vectors and dot product.

The coordinate plane below shows the origin, O (0,0) and the point A (1, 3) and the vector .

## Question part a.

On the worksheet, draw point B (-6, 2) and vector , and draw point C (4, -3) and .

Calculate , the magnitude of . Write your answer **exactly, **as a square root**.**

Calculate , the magnitude of . Give your answer rounded to 3 significant figures

**Write down** the angle between and .** Justify** your answer.

Calculate the scalar product

Calculate the angle between and , rounding your answer to the nearest degree.