Quick questions on Vectors operations and applications: VCE Specialist Mathematics Unit 3

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is sign of the scalar resolute?

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If the angle is obtuse the scalar resolute is negative. Do not take the absolute value unless a length is explicitly requested.

What is q1?

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Find the angle between

\mathbf{a} = \mathbf{i} + \mathbf{j}

and

\mathbf{b} = \mathbf{i}

. [2 marks]

What is q2?

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Find the scalar resolute of

\mathbf{a} = 2\mathbf{i} - \mathbf{j} + 2\mathbf{k}

in the direction of

\mathbf{b} = \mathbf{i} + 2\mathbf{j} + 2\mathbf{k}

. [2 marks]

What is q3?

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Determine the value of

t

for which

\mathbf{a} = t\mathbf{i} + 3\mathbf{j}

is perpendicular to

\mathbf{b} = 2\mathbf{i} - \mathbf{j}

. [2 marks]

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