Let the lines
If the shortest distance between the two skew lines
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Vectors, SPEC2 SM-Bank 23
A cube with side length 3 units is pictured below.
- Calculate the magnitude of vector
. (1 mark)
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- Find the acute angle between the diagonals
and . (3 marks)
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Vectors, SPEC2 2019 VCAA 4
The base of a pyramid is the parallelogram
- Find the values of
and . (2 marks)
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- Find the cosine of the angle between the vectors
and . (2 marks)
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- Find the area of the base of the pyramid. (2 marks)
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- Show that
is perpendicular to both and , and hence find a unit vector that is perpendicular to the base of the pyramid. (3 marks)
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- Find the volume of the pyramid. (2 marks)
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Show Worked Solution
| a. | ||
b.
| c. | ||
d.
e.
Vectors, SPEC2-NHT 2017 VCAA 13 MC
Let
An equation correctly relating these vectors is
A.
B.
C.
D.
E.
Show Worked Solution
