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Find the position vector of the foot of ...

Find the position vector of the foot of perpendicular and the perpendicular distance from the point `P` with position vector `2 hat i+3 hat j+4 hat k` to the plane ` vec rdot(2 hat i+ hat j+3 hat k)-26=0.` Also find image of `P` in the plane.

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Find the image of the point having position vector hat i+2 hat j+4 hat k in the plane vec r.(2 hat i- hat j+ hat k)+3=0.

Find the distance of the point 2 hat i- hat j-4 hat k from the plane vec rdot((3 hat i-4 hat j+12 hat k)-9=0.

Find the distance of the point 2 hat i+ hat j- hat k from the plane vec r( hat i-2 hat j+4 hat k)=9 .

Find the coordinates of the foot of the perpendicular and the length of the perpendicular drawn from the point P(5,4,2) to the line vec(r) = -hat(i) + 3hat(j) + hat(k) + lambda (2hat(i) + 3hat(j) - hat(k)) .

Find the image of the point having position vector hat(i) + 3hat(j) + 4hat(k) in the plane vec(r ).(2hat(i) - hat(j) + hat(k))+ 3=0

Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

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Find the foot of the perpendicular drawn from the point hat i+6 hat j+3 hat k to the line vec r= hat j+2 hat k+lambda( hat i+2 hat j+3 hat k)dot Also, find the length of the perpendicular.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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