Vectors and 3D coordinates
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1
Find |v|, the magnitude of the vector.
Give your answer as a surd in its simplest form.
2 Marks
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7r2
2
A rectangular based pyramid is placed on a cuboid.
a Determine the point K
1 Marks
b Determine the length of AK
Give your answer as a surd in its simplest form
3 Marks
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a) (8, 0, 4)
b) 2r13
3
The diagram show s a company logo.
ED represents vector u
FD represents vector v
Express the vectors EH in terms of u and v.
1 Marks
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2u – v
4
The diagram shows an octahedron of height 8 units.
BCDE is a square which has identical pyramids above and below it.
The point C has coordinates (6, 0, 4)
State the coordinates of E and A
2 Marks
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E(0, 6, 4)
A(3, 3 , 8)
5
RSUP is a parallelogram.
Q is the midpoints of RP.
T is the midpoint of SU.
a Express RQ in terms of a and b
1 Marks
b Express PS in terms of a and b
1 Marks
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a a – b
b 2b – a