Question B2 Consider the vectors, 3 p= and q= 2 (i) Compute 3p - 5q. (ii) Find the length of p, that is pl, and give a unit vector in the direction of p. (iii) Compute the scalar product p.q. (iv) Computer the vector product px q. (v) Using the results of the previous two parts (iii) and (iv) find the tangent (tan) of the angle between the two vectors p and q. (vi) Compute the vector triple product, px (px q).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question B2 Consider the vectors,
3
p=
and q=
2
(i) Compute 3p - 5q.
(ii) Find the length of p,
that is p, and give a unit vector in the direction of p.
(iii) Compute the scalar product p.q.
(iv) Computer the vector product px q.
(v) Using the results of the previous two parts (iii) and (iv) find the tangent (tan) of the
angle between the two vectors p and q.
(vi) Compute the vector triple product, px (px q).
Transcribed Image Text:Question B2 Consider the vectors, 3 p= and q= 2 (i) Compute 3p - 5q. (ii) Find the length of p, that is p, and give a unit vector in the direction of p. (iii) Compute the scalar product p.q. (iv) Computer the vector product px q. (v) Using the results of the previous two parts (iii) and (iv) find the tangent (tan) of the angle between the two vectors p and q. (vi) Compute the vector triple product, px (px q).
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