InterviewSolution
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InterviewSolution
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The ratio in which the plane `vecr.(veci-2 vecj+3veck)=17` divides the line joining the points `-2veci+4vecj+7veckandvec3i-5vecj+8veck` isA. `1:5`B. `1:10`C. `3:5`D. `3:10` |
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Answer» Correct Answer - d Let the plane `vecr.(veci-2vecj+3veck)=17` divide the line joining the points `-2veci+4vecj+7veckand3veci-5vecj+8veck` in the ration t : 1 at point P is Therefore, point P is `(3t-2)/(t+1)veci+(-5t+4)/(t+1)vecj+(8t+7)/(t+1)veck` This lies on the given plane `because(3t-2)/(t+1).(1)+(-5t+4)/(t+1)(-2)+(8t+7)/(t+1)(3)=17` Solving, we get `t=(3)/(10)` |
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