Page 203 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

From the definition of the product , the length of the vector is times the length of u. Expressed as an equation, this
statement says that

(5)

This useful formula is applicable in both 2-space and 3-space.

Exercise Set 3.2

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Find the norm of v.
1.

(a)
(b)
(c)
(d)
(e)
(f)

Find the distance between and .
2.

(a) ,
(b) ,
(c) ,
(d) ,

Let , , . In each part, evaluate the expression.
3.