USE EXACT NUMBERS... NO DECIMALS, PLEASE EXPLAIN* Complete parts (a) through (c)

Question

USE EXACT NUMBERS... NO DECIMALS, PLEASE EXPLAIN*

Complete parts (a) through (c) below. Find two unit vectors parallel to v = 3i + 4j. Find b if v= (1/7,b) is a unit vector. Find all values of a such that w = ai + a/2j is a unit vector. The parallel unit vector with the same direction is . The parallel unit vector with the opposite direction is . (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) (Type exact answers, using radicals as needed. Use a comma to separate answers as needed.)

Explanation / Answer

a) Unit vectors are (+/-) (3i + 4j)(32+42)= (+/-) 3i/5 +4j/5

b)1/72 + b2 = 1

b2 = 48/49

b = (+/-) (43)/7

c)a2 + a2/4 = 1

a2 = 4/5

a = (+/-) 2/5

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