Home
Class 12
MATHS
If the four points with position vectors...

If the four points with position vectors `-2hat(i)+hat(j)+hat(k),hat(i)+hat(j)+hat(k),hat(j)-hat(k)andlamdahat(j)+hat(k)` are coplanar, then `lamda=`

A

1

B

2

C

-1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE WORKOUT (One or More than One Option Correct Type) (2 Mark)|15 Videos

  • TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 2 : Single Option Correct Type (2 Mark))|3 Videos

Similar Questions

Explore conceptually related problems

If the four points with positing vectors,-2hat i+hat j+hat k,hat i+hat j+hat k,hat j-hat k and lambdahat j+hat k are coplanar,then lambda is equal to

If vector hat(i)+hat(j)+hat(k), hat(i)-hat(j)+hat(k) and 2hat(i)+3hat(j)+lambda hat(k) are coplanar, then lambda is equal to

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.

The vectors lamdahat(i)+hat(j)+2hat(k),hat(i)+lamdahat(j)-hat(k) and 2hat(i)-hat(j)+lamda hat(k) are coplanar, if

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

If vectors ahat(i)+hat(j)+hat(k),hat(i)+bhat(j)+hat(k),hat(i)+hat(j)+chat(k) are coplanar, then a+b+c-abc= . . . . . . . .

Find 'lambda' if the vectors : hat(i)-hat(j)+hat(k), 3hat(i)+hat(j)+2hat(k) and hat(i)+lambda hat(j)-3hat(k) are coplanar.

Show that the vectors hat(i)-3hat(j)+4hat(k),2hat(i)-hat(j)+2hat(k)and 4hat(i)-7hat(j)+10hat(k) are coplanar.