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Vectors and matrices — Question 8

QCAA 2020, Paper 1 · 1 mark

Q8 · 2020 · Technology-freeSimple familiar1 mark

QUESTION 8

An equation of the line passing through the points A(2,4,5)A(2,4,5) and B(3,−2,1)B(3,-2,1) is
(A)
2i^+4j^+5k^+t(3i^−2j^+k^),  t∈R2\hat{\mathbf i}+4\hat{\mathbf j}+5\hat{\mathbf k}+t(3\hat{\mathbf i}-2\hat{\mathbf j}+\hat{\mathbf k}),\;t\in\mathbb R
(B)
−3i^+2j^−k^+t(i^−6j^−4k^),  t∈R-3\hat{\mathbf i}+2\hat{\mathbf j}-\hat{\mathbf k}+t(\hat{\mathbf i}-6\hat{\mathbf j}-4\hat{\mathbf k}),\;t\in\mathbb R
(C)
x−12=y+64=z+45\frac{x-1}{2}=\frac{y+6}{4}=\frac{z+4}{5}
(D)
x−3−1=y+26=z−14\frac{x-3}{-1}=\frac{y+2}{6}=\frac{z-1}{4}
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