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1. Indicate if each statement Is True or False. Write the word True or False not T or F. a) If a = B, then
1. Indicate if each statement Is True or False. Write the word True or False not T or F. a) If a = B, then lE|= '5]. a) [K5] b) if E = 25, then a is parallel to E. b) c) +37+67l =0. 0) d) '6 +Bl s l6l+l6|. d) e) {(1,1),(1,1)} is a spanning set for 1R2. e) 2. Given the following rectangular prism, express each of the following as a single vector. [A4] a) 3 + 5 +5 b) 3 +2 C D l c) E PM 0-1 d) E 3. 0n the grid below, [A3] a) label the axes: x, y, andz b) plot the point P(0,4,0) c) draw the vector (32' = (2,3, 4) 4. Express PQ RQ + SR PS + RS as a single vector. [K1] 5. Given (1' = 4?- 7fc' in R3 , determine a) (i in component form b) IEI'I (exact value) [K3] 6. Given D(4, 0. 9), E(3, 7, -8), and F(-2, -5, 5), determine a) F b) |+| (exact value) [K3] 7. Given vectors a = -2f- 3I+ E, 1?: 3? + f2Eand w = (3,0,5), nd if possible: a) |%+| [A 4] b) The unit vector opposite to (13 if) Q+E) _ |q 8. The angle between vectors and 0 IS 90. Calculate _E+q=5 l=3 if to one decimal place, units and units. [K2]
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