Home
Class 12
MATHS
The vertex A of triangle ABC is on the l...

The vertex A of triangle ABC is on the line `vecr=hati+hatj+lambda hatk` and the vertices B and C have respective position vectors `hati and hatj `. Let `Delta` be the area of the triangle and `Delta in [3//2,sqrt33//2]` then the range of value of `lambda` corresponding to A is

Promotional Banner

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are at -hati+3hatj and 2hati+5hatj and its orthocentre is at hati+2hatj . Find the position vector of third vertex.

If the vectors (hati+hatj+hatk) and (3 hati+ 2 hatj) form two sides of a triangle, then area of the triangle is :

The area of the triangle formed by 2hati+hatj-hatk and hati+hatj+hatk is

Two vertices of a triangle have position vectors 3hati+4hatj-4hatk and 2hati+3hatj+4hatk. If the position vector of the centroid is hati+2hatj+3hatk , then the position vector of the third vertex is

In a triangle ABC the sides AB and AC are represented by the vectors 3hati+hatj+hatk and hati+2hatj+hatk respectively. Calculate the angle angleABC .

The shortest distance between the lines vecr = (2hati - hatj) + lambda(2hati + hatj - 3hatk) vecr = (hati - hatj + 2hatk) + lambda(2hati + hatj - 5hatk)

The position vectors of the vertices A,B,C of the triangle ABC are (hati+hatj+hatk),(hati+5hatj-hatk) and (2hati+3hatj+5hatk) respectively. Find the greatest angle of the triangle.