2022TrialMultiple choice

Q1

1 mark

Question

What is the unit vector in the same direction as $\vec a=2\mathbf i+\mathbf j-3\mathbf k$ ?

A. $-\frac1{14}\begin{bmatrix}2\\1\\-3\end{bmatrix}$
B. $-\frac1{14}\begin{bmatrix}2\\-1\\3\end{bmatrix}$
C. $-\frac1{\sqrt{14}}\begin{bmatrix}2\\-1\\3\end{bmatrix}$
D. $\frac1{\sqrt{14}}\begin{bmatrix}2\\1\\-3\end{bmatrix}$

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Syllabus alignment

Vectors

Introduction to three-dimensional vectorsRepresent and operate with vectors in three dimensions using unit, component, ordered-triple and column-vector forms.
Further operations with three-dimensional vectorsUse vector magnitude, unit vectors and scalar products to solve problems and prove geometric results.

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