Integral Maths Vectors Topic Assessment Answers -

I’ve outlined the key steps. Question 1 – Vector magnitude and unit vectors Typical Q: Find ( |\mathbfa| ) given ( \mathbfa = 4\mathbfi - 3\mathbfj + 2\mathbfk ).

( \sqrt4^2 + (-3)^2 + 2^2 = \sqrt16 + 9 + 4 = \sqrt29 ) integral maths vectors topic assessment answers

Unit vector = ( \frac1\sqrt29(4\mathbfi - 3\mathbfj + 2\mathbfk) ). Typical Q: Given ( \mathbfp = \beginpmatrix 1 \ 2 \ -1 \endpmatrix ), ( \mathbfq = \beginpmatrix 3 \ 0 \ 4 \endpmatrix ), find the angle between them. I’ve outlined the key steps

Lines are skew (no intersection). Check your given numbers carefully – mine showed no solution. Question 5 – Perpendicular vectors & constant finding Typical Q: ( \mathbfa = \beginpmatrix 2 \ k \ 3 \endpmatrix ), ( \mathbfb = \beginpmatrix 1 \ -2 \ 4 \endpmatrix ) are perpendicular. Find ( k ). Typical Q: Given ( \mathbfp = \beginpmatrix 1