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If the scalar product of the vector `hati+hatj+2hatk` with the unti vector along `mhati+2hatj+3hatk` is equal to 2, then one of the value of m isA. 3B. 4C. 5D. 6 |
Answer» Correct Answer - D `(hati +hatj +2 hatk ). ((mhati +2hatj +3hatk )/( sqrt(m^(2)+2^(2)+3^(2))))=2` `implies m+2+6=2sqrt(13+m^(2))` `implies (m+8)^(2)=4(13+m^(2))` `implies m^(2)+16m+64 =4m^(2)+52` ` implies 3m^(2)-16m - 12=0 ` `implies (3m+2)(m-6)=0` `implies m=6,-(2)/(3)` |
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