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Three vectors that are neitherparallel nor antiparallel can be arranged to form

ID: 1740885 • Letter: T

Question

Three vectors that are neitherparallel nor antiparallel can be arranged to form a triangle ifthey sum to (0, 0). (a) What vector forms a triangle with(0, 3) and (3, 0)? (b) If you multiply all three vectorsby the scalar 2, do they still form a triangle? (c) What if youmultiply them by the scalar a?
(a) (, )
(b) Yes   No  
(c) Yes   No   (a) (, )
(b) Yes   No  
(c) Yes   No   Three vectors that are neitherparallel nor antiparallel can be arranged to form a triangle ifthey sum to (0, 0). (a) What vector forms a triangle with(0, 3) and (3, 0)? (b) If you multiply all three vectorsby the scalar 2, do they still form a triangle? (c) What if youmultiply them by the scalar a?
(a) (, )
(b) Yes   No  
(c) Yes   No  

Explanation / Answer

(-3,-3) Yes, and yes.

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