Home
Class 12
MATHS
The triangle formed by the three points ...

The triangle formed by the three points whose position vectors are `2i + 4j -k , 4i +5j + k and 3i + 6j - 3k`, is

A

an equilateral triangle

B

a right angled triangle but not isosceles

C

an isosceles triangle but not right angled triangle

D

a right angled isosceles triangle

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The position vector of the centroid of the Delta ABC is 2i + 4j + 2k . If the position vector of the vertex A is 2i + 6j + 4k, then the position vector of midpoint of BC is a)2i + 3j + k b)2i + 3j - k c)2i - 3j - k d) -2i - 3j - k

Show that the points A, B and C with position vectors veca=3i-4j-4k,vecb=2i-j+k and vecc=i-3j-5k respectively form the vertices of a right angled triangle.

The value of mif the vectors 4 i - 3 j + 5k and mi - 4 j + k are perpendicular, is

The angle between the vectors i+j and j+k is

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k . Find the distance between the line and plane barr.(i+5j+k)=5

The distance between the planes r. (i+ 2j - 2k ) + 5 =0 and r. (2i + 4j - 4k ) - 16 =0 is

Write the unit vector in direction of i+2j-3k .

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k . Show that the straight line is parallel to the plane barr.(i+5j+k)=5

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k . Write down the vector equation of the straight line.

Find the position vector of a point R which divides the line joining the points P and Q whose vectors are i+2j-k and -i+j+k in the ratio 2:1 Internally.