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

Show that the four points A,B,C and D with position vectors 4hat i+5hat j+hat k,-(hat j+hat k),3hat j+9hat j+4hat k and 4(-hat i+hat j+hat k) respectively are coplanar.

Show that the four points A, B, C and D with position vectors 4hat(i)+5hat(j)+hat(k), -(hat(j)+hat(k)),3hat(i)+9hat(j)+4hat(k) and 4(-hat(i)+hat(j)+hat(k)) respectively are coplanar.

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.

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.

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

Prove that the four points having position vectors are coplanar: 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k

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

Find the value of lambda for which the four points with position vectors (-hat(j)+hat(k)), (2hat(i)-hat(j)-hat(k)), (hat(i)+lambda hat(j)+hat(k))and (3hat(j)+3hat(k)) are coplanar.

Find the value of lambda so that the following vectors are coplanar: vec a=hat i-hat j+hat k,vec b=2hat i+hat j-hat k,vec c=lambdahat i-hat j+lambdahat k

RESONANCE DPP-JEE MAINS-All Questions
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