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A, B, and C are 3 distinct points with non-zero position vectors a, b, and e respectively. a If a x c= b x c, what can be deduced about OC and AB? bIf a + b +c = 0, what relationship exists between a xb and b x c? e If c0 and b x c cx a, prove that a + b ke for some scalar k. %3D

A, B, and C are 3 distinct points with non-zero position vectors a, b, and e respectively. a If a x c= b x c, what can be deduced about OC and AB? bIf a + b +c = 0, what relationship exists between a xb and b x c? e If c0 and b x c cx a, prove that a + b ke for some scalar k. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7. A, B, and C are 3 distinct points with non-zero position vectors a, b, and c respectively. a If a x c = b x c, what can be deduced about OC and AB? b If a +b +e = 0, what relationship exists between a x b and b x c? cIf c0 and b x c = c x a, prove that a + b ke for some scalar k.
Transcribed Image Text:7. A, B, and C are 3 distinct points with non-zero position vectors a, b, and c respectively. a If a x c = b x c, what can be deduced about OC and AB? b If a +b +e = 0, what relationship exists between a x b and b x c? cIf c0 and b x c = c x a, prove that a + b ke for some scalar k.
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