Let ABC be a triangle, the position vect...

Let ABC be a triangle, the position vectors of whose vertices are `7hatj + 10 hatk, -hati +6hatj+6hatk and -4hati+9hatj +6hatk`. Then `DeltaABC` is

isosceles and right angled

equilateral

right angled but not isosceles

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ALGEBRA OF VECTORS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
ALGEBRA OF VECTORS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
ALGEBRAIC INEQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|39 Videos

Similar Questions

Explore conceptually related problems

Let ABC be a triangle, the position vectors of whose vertices are respectively 7 hatj + 10 hatk , -hati + 6 hat j + 6 hatk and -4 hati + 9 hatj + 6 hat k . " Then, " Delta ABC is

Let ABC be a triangle the position vectors of whose vertices are respectively hati+2hatj+4hatk, -2hati+2hatj+hatk and 2hati+4hatj-3hatk . Then the /_\ABC is (A) isosceles (B) equilateral (C) righat angled (D) none of these

Find the vector area of the triangle, the position vectors of whose vertices are hati+hatj+2hatk, 2hati+2hatj-3hatk and 3hati-hatj-hatk

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

If the position vectors of the vertices A,B and C of a DeltaABC are 7hatj+10k,-hati+6hatj+6hatk and -4hati+9hatj+6hatk , respectively, the triangle is

If the points whose position vectors are 2hati + hatj + hatk , 6hati - hatj + 2 hatk and 14 hati - 5 hatj + p hatk are collinear, then p =

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

If ABCD is a parallelogram and the position vectors of A,B and C are hati+3hatj+5hatk, hati+hatj+hatk and 7 hati+7hatj+7hatk , then the poisitionn vector of D will be

Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,hati-6hatj+10hatk,-1hati-3hatj+4hatk and 5hati-hatj+5hatk , respectively. Then, ABCD is

Find the sum of the vectors vec=hati-2hatj+hatk, vecb=-2hati+4 hatj+5hatk and vecc=hati-6hatj-7hatk

OBJECTIVE RD SHARMA ENGLISH-ALGEBRA OF VECTORS-Exercise

If vec a ,\ vec b ,\ vec c are the position vectors of the vertices...
Text Solution
|
If P, Q, R are three points with respective position vectors hati + ha...
Text Solution
|
Let ABC be a triangle, the position vectors of whose vertices are 7hat...
Text Solution
|
If vec a = hati + 2 hatj + 2 hat k and vec b = 3 hati + 6 hatj + 2 h...
Text Solution
|
veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b ...
Text Solution
|
The vector vec c , directed along the internal bisector of the angle...
Text Solution
|
A, B have vectors vec a , vec b relative to the origin O and X, Y d...
Text Solution
|
If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...
Text Solution
|
The vector vec c , directed along the internal bisector of the angle...
Text Solution
|
Let vec a , vec b ,vec c are three non- coplanar vectors such that ...
Text Solution
|
If vec a, vec b , vec c are three non- coplanar vectors such that v...
Text Solution
|
veca, vecb ,vecc are three non zero vectors no two of which are collon...
Text Solution
|
Let alpha,beta and gamma be distinct real numbers. The points with pos...
Text Solution
|
The points with position vectors 60hati+3hatj,40hati-8hatj, ahati-52ha...
Text Solution
|
If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...
Text Solution
|
If C is the middle point of AB and P is any point outside AB, then
Text Solution
|
The median AD of the DeltaABC is bisected at E.BE meets AC in F. then,...
Text Solution
|
In a trapezium, the vector BC=lamdaAD. We will then find that p=AC+BD ...
Text Solution
|
If vec xa n d vec y are two non-collinear vectors and A B C isa trian...
Text Solution
|
If D, E, F are respectively the mid-points of AB, AC and BC respectiv...
Text Solution
|