Which of the following is a true statement about the lines
and are the same line. and are not parallel and they intersect. and are parallel and they do not intersect. and are not parallel and they do not intersect.
Vectors, EXT2 V1 2022 HSC 14a
- The two non-parallel vectors
and satisfy for some real numbers and . - Show that
. (2 marks)
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- The two non-parallel vectors
and satisfy for some real numbers and . - Using part (i), or otherwise, show that
and . (1 mark)
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The diagram below shows the tetrahedron with vertices
The point
The point
- Using part (ii), or otherwise, determine the position of
by showing that . (2 marks)
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- The point
is defined by . - Does
lie on the line ? Justify your answer. (2 marks)
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Vectors, EXT2 V1 2022 HSC 11e
Let
The line
Find the equation of the line
Vectors, EXT2 V1 SM-Bank 4
Determine the equation of the line vector
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Vectors, EXT2 V1 SM-Bank 1
Consider the vectors
Find all possible values of