Vectors in Two or Three Dimensions by Ann Hirst

Author:Ann Hirst [Hirst, A E]
Language: eng
Format: epub
ISBN: 978-0-08-057201-7
Publisher: Elsevier Science
Published: 1995-03-03T16:00:00+00:00

FURTHER EXERCISE

11. Suppose that

(i) Find the lengths of the vectors a, b, c, d. (ii) Find the scalar products a. b, a. c, a. d, b. c, b. d, c. d.(iii) Which pairs of vectors are orthogonal?

12. Describe each of the following subsets of 3 geometrically, and determine whether or not each is a subspace of 3.

13. Given that u = and v = , find whether or not each of the following vectors can be written as a linear combination of u and v, and, where possible, write down this linear combination:

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