InterviewSolution
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InterviewSolution
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If ` | vec A | =2 and | vec B| =4`, then match the relations in column I with the ange ` theta` between ` vec A and vec B` in column II. Column I, Column II (a) ` |vec A xx vec B| =0` , (i) ` theta =30^@` (b) `| vec A xx vec B|=0` , (ii) ` theta =45^@` (c ) ` vec A xx vec B| =4` , (iii) ` theta =90^@` (d) ` | vec A xxx vec B| = 4 sqrt 2` , (iv) ` theta =0^@`. |
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Answer» Here ` A= 2 and B=4`. `(a) | vec A xx vec B| =0 = AB sin theta =2 xx 4 sin theta or =0 and theta =0^@`. It matches with option (iv). `(b) | vec A xx vec B| =8 = AB sin theta 2 xx 4 sin theta or sin theta =1 and theta =90^@`. It matches with option (iii). `(c ) | vec A xx vec B| =4 =2 xx 4sin theta or sin theta =1/2 or theta =30^@`. It matches with option (i). `(d) | vec A xx vec B| = 4 sqrt 2=2 xx 4 or sin theta =1 /(sqrt 2) or theta =45^@`. It matches with option (ii). |
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