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Find the value of lambda so that the fou...

Find the value of `lambda` so that the four points, A, B, C and D with position vectors `4 hat i+5 hat j+ hat k ,- hat j- hat k ,3 hat i+lambda hat j+4 hat k` and `-4 hat i+4 hat j+4 hat k` respectively are coplanar.

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Find the value of lambda for which the four points with position vectors -hat j-hat k,4hat i+5hat j+lambdahat k,3hat i+9hat j+4hat k and 4hat i+4hat j+4hat k are coplanar.

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Area of a rectangle having vertices A, B, C and D with position vectors - hat i+1/2 hat j+4 hat k , hat i+1/2 hat j+4 hat k , hat i-1/2 hat j+4 hat k and - hat i-1/2 hat j+4 hat k respectively is (A) 1/2 (B) 1 (C) 2 (D) 4

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Show that the points A,B and C with position vectors,vec a=3hat i-4hat j-4hat kvec b=2hat i-hat j+hat k and vec c=hat i-3hat j-5hat k respectively form the vertices of a right angled triangle.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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