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If a=i+2j+2k and 3i+6j+2k,then the vector in the direction of a and having magnitude |b|
Asked by g_archanasharma | 15 Apr, 2019, 18:16: PM
answered-by-expert Expert Answer
G i v e n colon space a equals i plus 2 j plus 2 k space a n d space b equals 3 i plus 6 j plus 2 k T h e space v e c t o r space i n space t h e space d i r e c t i o n space a space a n d space h a v i n g space m a g n i t u d e space vertical line b vertical line space i s space g i v e n space b y colon left parenthesis M a g n i t u d e space o f space b right parenthesis times left parenthesis u n i t space v e c t o r space i n space t h e space d i r e c t i o n space o f space a right parenthesis equals vertical line b vertical line times open parentheses fraction numerator a over denominator vertical line a vertical line end fraction close parentheses equals square root of 3 squared plus 6 squared plus 2 squared end root times open parentheses fraction numerator i plus 2 j plus 2 k over denominator square root of 1 squared plus 2 squared plus 2 squared end root end fraction close parentheses equals square root of 9 plus 36 plus 4 end root times open parentheses fraction numerator i plus 2 j plus 2 k over denominator square root of 1 plus 4 plus 4 end root end fraction close parentheses equals 7 times open parentheses fraction numerator i plus 2 j plus 2 k over denominator 3 end fraction close parentheses equals fraction numerator 7 i plus 14 j plus 14 k over denominator 3 end fraction
Answered by Renu Varma | 16 Apr, 2019, 10:15: AM

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