2021HSCShort answer

Q12 (e) (i)

1 mark

Question

The diagram shows pyramid $ABCDS$ , where $ABCD$ is a square. The diagonals of the square bisect each other at $H$ . Show that
$\overrightarrow{HA}+\overrightarrow{HB}+\overrightarrow{HC}+\overrightarrow{HD}=\vec0.$

Try the question before revealing the answer.

Solution

Criteria	Marks
Provides correct solution	1

Sample answer: Consider the square base.

[Diagram present in source.]

Supplied marking guidance · human reviewed

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

Syllabus alignment

Vectors

Introduction to three-dimensional vectorsRepresent and operate with vectors in three dimensions using unit, component, ordered-triple and column-vector forms.

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