Topic Assessment Answers | Integral Maths Vectors

( \sqrt4^2 + (-3)^2 + 2^2 = \sqrt16 + 9 + 4 = \sqrt29 )

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Direction vector ( \overrightarrowAB = \beginpmatrix 3 \ 2 \ -3 \endpmatrix ) Equation: ( \mathbfr = \beginpmatrix 2 \ -1 \ 3 \endpmatrix + \lambda \beginpmatrix 3 \ 2 \ -3 \endpmatrix ), ( \lambda \in \mathbbR ). Question 4 – Intersection of two lines Typical Q: ( L_1: \mathbfr = \beginpmatrix 1 \ 0 \ 2 \endpmatrix + s\beginpmatrix 2 \ -1 \ 1 \endpmatrix ), ( L_2: \mathbfr = \beginpmatrix 4 \ 2 \ 1 \endpmatrix + t\beginpmatrix 1 \ 1 \ -2 \endpmatrix ). ( \sqrt4^2 + (-3)^2 + 2^2 = \sqrt16

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 ). I’ve outlined the key steps