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If , where , and are all non-zero vectors, show that bisects the angle between and .

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Let be point on L that makes from P. for some So when , L is [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Equation of plane OABC: , for Since is on plane OABC,   for are [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) and . are either zero vectors or parallel to each other. (ii) From [...]