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How to answer A Level questions on Vectors, Displacement vectors, Vector equation of a line?
How to find the angle between two straight lines using the scalar product of vectors?
A-level maths Edexcel C4 January 2008 Q6a
This question is on displacement vectors.
The points A and B have position vectors 2i + 6j – k and 3i + 4j + k respectively.
The line passes through the points A and B.
(a) Find the vector AB.
A-level maths Edexcel C4 January 2008 Q6b
This question is on the vector equation of a line
(b) Find a vector equation for the line l
1.
A-level maths Edexcel C4 January 2008 Q6c
This question is on the angle between two straight lines using the scalar product of vectors.
A second line l
2 passes through the origin and is parallel to the vector i + k. The line l
1,
meets the line l
2 at the point C.
(c) Find the acute angle between l
1 and l
2.
A-level maths Edexcel C4 January 2008 Q6d
This question is on the intersection of two vector equations of lines.
(d) Find the position vector of the point C.
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