Home
Class 12
MATHS
If 3hat(i)+hat(j)-2hat(k)andhat(i)-3hat(...

If `3hat(i)+hat(j)-2hat(k)andhat(i)-3hat(j)+4hat(k)` are the diagonals of a parallelogram, then the area of the parallelogram is

A

`10sqrt(3)sq.units`

B

`5sqrt(3)sq.units`

C

`5sqrt(2)sq.units`

D

`10sqrt(2)sq.units`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE WORKOUT (Single Option Correct Type) (2 Mark)|15 Videos

  • 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 vectors hat(i)-3hat(j)+2hat(k), -hat(i)+2hat(j) represent the diagonals of a parallelogram, then its area will be

If the vectors 3hat i+hat j-2hat k,hat i-3hat j+4hat k are diagonals of a quadrilateral then the area vector of the quadrilateral is

If a=hat(i)+hat(j)+hat(k), b=hat(i)+3hat(j)+5hat(k) and c=7hat(i)+9hat(j)+11 hat(k) , then the area of the parallelogram having diagonals a+b and b+c is

If vec(a)=2hat(i)-3hat(j)+4hat(k) and vec(b)=5hat(i)+hat(j)-hat(k) represent sides of parallelogram, then find both diagonals and a unit vector perpendicular to both diagonals of parallelogram.

The sides of a parallelogram represented by vectors p = 5hat(i) - 4hat(j) + 3hat(k) and q = 3hat(i) + 2hat(j) - hat(k) . Then the area of the parallelogram is :

Two adjacent sides of a parallelogram are represented by the two vectors hat(i) + 2hat(j) + 3hat(k) and 3hat(i) - 2hat(j) + hat(k). What is the area of parallelogram?

The vectors AB=3hat i-2hat j+2hat k and vec BC=-hat i+2hat k are the adjacent sides of a parallelogram ABCD then the angle between the diagonals is