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2022 Mathematics Extension 2 Q11 (d) (ii) | HSC Atlas

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2022TrialShort answer

Q11 (d) (ii)

2 marks

Question

Using the points defined in part (d), find $|\overrightarrow{CB}|$ .

Try the question before revealing the answer.

Solution

\left|\overrightarrow{CB}\right|=\sqrt{(9-10)^2+(9-14)^2+(6+4)^2}

=\sqrt{1+25+100}

=\sqrt{126}=3\sqrt{14}

Supplied marking guidance · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Vectors

Further operations with three-dimensional vectorsUse vector magnitude, unit vectors and scalar products to solve problems and prove geometric results.

Source

Fort St 2022 4U Trial PaperFort StQuestion paper page 7Guidance page 21View original source ↗

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