For the vectors it is given that | a |=3, | b |=2, | c |=4

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

For the vectors a,  b,  c\mathbf{a},\;\mathbf{b},\;\mathbf{c} it is given that ∣a∣=3,∣b∣=2,∣c∣=4,|\mathbf{a}|=3,\quad |\mathbf{b}|=2,\quad |\mathbf{c}|=4, a⋅b=2,a⋅c=−1,b⋅c=3.\mathbf{a}\cdot\mathbf{b}=2,\quad \mathbf{a}\cdot\mathbf{c}=-1,\quad \mathbf{b}\cdot\mathbf{c}=3. Calculate the value of (2a−3b+c)⋅(a+4b−2c).(2\mathbf{a}-3\mathbf{b}+\mathbf{c})\cdot(\mathbf{a}+4\mathbf{b}-2\mathbf{c}).

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