Home
Class 11
PHYSICS
The diagonals of a parallelogram are vec...

The diagonals of a parallelogram are `vecA=2hati-3hatj+hatk` and `vecB=-2hati+4hatj-hatk` what is the area of the paralleogram?

A

2 units

B

4 units

C

`sqrt(5)` units

D

`sqrt(5)/(2)` units

Text Solution

Verified by Experts

The correct Answer is:
D

area of parallelogram `=(1)/(2)|vecd_(1)xxvecd_(2)|`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    NARAYNA|Exercise LEVEL-I (H.W)|27 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise STATEMENT TYPE QUESTION|23 Videos
  • WAVES

    NARAYNA|Exercise Exercise-IV|56 Videos

Similar Questions

Explore conceptually related problems

The diagonals of as parallelogram are given by veca=3hati-4hatj-hatk and vecb=2hati+3hatj-6hatk Show that the parallelogram is as rhombus and determine the length of its sides, and the angles.

The diagonals of a parallelogram are given by -3hati+2hatj-4hatk and -hati+2hatj+hatk . Calculate the area of parallelogram.

The adjacent sides of a parallelogram are given by vecA=hati+hatj-4hatk and vecB=2hati-hatj+4hatk . Calculate the area of parallelogram.

The diagonals of a parallelogram are given by vectors 2hati+3hatj-6hatk and 3hati-4hatj-hatk . Determine the area.

The diagonals of a parallelogram are gives by the vectors 3hati +hatj + 2hatk and hati - 3hatj +4hatk . Find the area of the parallogram.

If veca=2hati-3hatj-hatk and vecb=hati+4hatj-2hatk , then vecaxxvecb is

Vectors along the adjacent sides of parallelogram are veca = hati +2hatj +hatk and vecb = 2hati + 4hatj +hatk . Find the length of the longer diagonal of the parallelogram.

If the diagonals of a parallelogram are 3 hati + hatj -2hatk and hati - 3 hatj + 4 hatk, then the lengths of its sides are

Given veca = hati-hatj+hatk and vecb = 2hati-4hatj-3hatk , find the magnitude of veca

The diagonals of a parallelogram are expressed as vecA=5hati05hatj+3hatk and hatB=3hatj-2hatj-hatk . Calculate the magnitude of area of this parallelogram.