1) Consider the points in the plane P(10, 8) and Q(-1, -7) (a) Sketch the vector PQ in 2-space. Clearly label each point and the vector (b) Find the position vector (the vector with initial point at the origin) that corresponds to the vector PQ and sketch the vector on your picture above. Clearly label each point and the vector. (c) Find a vector perpendicular to PQ and call it v. Sketch it on the plane above. Clearly label each point and the vector and show that it is perpendicular.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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1) Consider the points in the plane P(10, 8) and Q(-1, -7)
(a) Sketch the vector PQ in 2-space. Clearly label each point and the vector
(b) Find the position vector (the vector with initial point at the origin) that
corresponds to the vector PQ and sketch the vector on your picture above.
Clearly label each point and the vector.
(c) Find a vector perpendicular to PQ and call it v. Sketch it on the plane above.
Clearly label each point and the vector and show that it is perpendicular.
Transcribed Image Text:1) Consider the points in the plane P(10, 8) and Q(-1, -7) (a) Sketch the vector PQ in 2-space. Clearly label each point and the vector (b) Find the position vector (the vector with initial point at the origin) that corresponds to the vector PQ and sketch the vector on your picture above. Clearly label each point and the vector. (c) Find a vector perpendicular to PQ and call it v. Sketch it on the plane above. Clearly label each point and the vector and show that it is perpendicular.
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