Home
Class 12
MATHS
The number of distinct real values of...

The number of distinct real values of `lambda` , for which the vectors `lambda^2 hat i+ hat j+k , hat i-lambda^2 hat j+ hat ka n d hat i+ hat j-lambda^2 hat k` are coplanar is a. zero b. one c. two d. three

Promotional Banner

Similar Questions

Explore conceptually related problems

The number of distinct real values of lambda , for which the vectors -lambda^(2)hat(i)+hat(j)+hat(k), hat(i)-lambda^(2)hat(j)+hat(k) and hat(i)+hat(j)-lambda^(2)hat(k) are coplanar, is

What is the value of lamda for which the vectors hat(i) - hat(j) + hat(k), 2hat(i) + hat(j)- hat(k) and lamda hat(i) - hat(j)+ lamda (k) are coplanar

What is the value of lambda for which the vectors hat(i)-hat(j)+hat(k), 2 hat(i)+hat(j)-hat(k) and lambda hat(i)-hat(j)+lambda hat(k) are co-planar?

Find lambda so that the vectors vec a=2hat i-hat j+hat k,vec b=hat i+2hat j-3hat k and vec c=3hat i+lambdahat j+5hat k re 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.

The vectors vec a=hat i-2hat j+3hat k,vec b=-2hat i+3hat j-4hat k and vec c=hat i-3hat j+lambdahat k are coplanar if the value of lambda is

What is the value of lambda for which the vectors 3hat(i)+4hat(j)-hat(k) and -2hat(i)+lambda hat(j)+10hat(k) are perpendicular?

The value of 'lambda' such that the vectors : 3hat(i)+lambdahat(j)+5hat(k), hat(i)+2hat(j)-3hat(k) and 2hat(i)-hat(j)+hat(k) are coplanar is __________.