Three unit vectors
What is the value of
Vectors, EXT2 V1 2024 HSC 12a
The vector
- Find
. (1 mark)
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- Show that
is perpendicular to . (2 marks)
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Vectors, EXT2 V1 2024 HSC 1 MC
Which of the following vectors is perpendicular to
Vectors, EXT2 V1 2022 SPEC2 12 MC
Consider the vectors
If
and and and and
Vectors, EXT2 V1 EQ-Bank 1
Prove that the vectors
Vectors, EXT2 V1 2020 HSC 11d
Consider the two vectors
For what values of
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Vectors, EXT2 V1 2014 SPEC1 1
Consider the vector
- Find the unit vector in the direction of
. (1 mark)
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- Find the acute angle that
makes with the positive direction of the -axis. (2 marks)
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- The vector
.
Given that
is perpendicular to find the value of . (2 marks)
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Vectors, EXT2 V1 2013 SPEC1 3
The coordinates of three points are
- Find
(1 mark)
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- The points
and are the vertices of a triangle.
Prove that the triangle has a right angle at
(2 marks)
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- Find the length of the hypotenuse of the triangle. (1 mark)
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Vectors, EXT2 V1 SM-Bank 8
If
Vectors, EXT2 V1 SM-Bank 12
Two vectors are given by
If
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Vectors, EXT2 V1 SM-Bank 5
Find the value(s) of
Vectors, EXT2 V1 SM-Bank 4
Consider the three vectors
- Find the value(s) of
for which (2 marks) - Find the value of
such that is perpendicular to (1 mark)