Home
Class 12
MATHS
If two sides of a triangle are hati+2hat...

If two sides of a triangle are `hati+2hatj and hati+hatk`, then find the length of the third side.

Text Solution

AI Generated Solution

To find the length of the third side of the triangle given the two sides as vectors, we can follow these steps: ### Step 1: Identify the given vectors The two sides of the triangle are given as: - Vector **b** = \( \hat{i} + 2\hat{j} \) - Vector **c** = \( \hat{i} + \hat{k} \) ### Step 2: Set up the equation for the third side ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise ILLUSTRATION 27|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise ILLUSTRATION 28|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise ILLUSTRATION 25|1 Videos
  • INTEGRALS

    CENGAGE ENGLISH|Exercise All Questions|764 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Archives (Numerical Value type)|2 Videos

Similar Questions

Explore conceptually related problems

Two sides of a triangle are given by hati+hatj+hatk and -hati+2hatj+3hatk then area of triangle is

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

The two adjacent sides of a parallelogram are 2hati+3hatj-5hatk and hati+2hatj+3hatk . Find the uit vectors along the diagonal of te parallelogram.

The position vectors of the sides of triangle are 3hati+4hatj+5hatk, hati+7hatk and 5hati+5hatk . The distance between the circumcentre and the ortho centre 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.

The sides of a parallelogram are 2 hati + 4 hatj -5 hatk and hati + 2 hatj + 3 hatk , then the unit vector parallel to one of the diagonals is

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

If the position vectors of the vertices of a triangle be 2hati+4hatj-hatk,4hati+5hatj+hatk and 3 hati+6hatj-3hatk , then the triangle is

Vectors along the adjacent sides of parallelogram are veca = 2hati +4hatj -5hatk and vecb = hati + 2hatj +3hatk . Find the length of the longer diagonal of the parallelogram.

If the position vectors of the vertices of a triangle of a triangle are 2 hati - hatj + hatk , hati - 3 hatj - 5 hatk and 3 hati -4 hatj - 4 hatk , then the triangle is