The value of 'a' for which the points A...

The value of 'a' for which the points A, B,C with position vectors ` 2hati - hatj + hatk , hati + 2hatk, hati -3hatj - 5hatk and a hati -3hatj +hatk` respectively are the vertices of a right angled triangle with ` C = pi//2`, are

`-2 and -1`

`-2 and 1`

`2 and -1`

`2 and 1`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

VECTOR
MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos
VECTOR
MOTION|Exercise EXERCISE - 2 ( LEVEL -II)|15 Videos
VECTOR
MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos
TRIGONOMETRIC EQUATION
MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

The value of a for which the points A,B,C with position vectors 2hati-hatj+hatk, hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices are the vetices of a righat angled triangle with C=pi/2 are (A) -2 and -1 (B) -2 and 1 (C) 2 and -1 (D) 2 and 1

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

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

The values of a for which the points A,B,C with position vectors 2hati-hatj-hatk, hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices of a righat angled triangle at C are (A) 2 and 1 (B) -2 and -1 (C) -2 and 1 (D) 2 and -1

Prove that the points hati-hatj, 4hati-3hatj+ hatk and 2hati-4hatj+5hatk are the vertices of a righat angled triangle.

The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

Showt hat the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk) and C(3hati-3hatj-3hatk) are the vertices of a righat ngled triangled

If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =

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

MOTION-VECTOR -EXERCISE - 1

Angle between diagonals of a parallelogram whose side are represented ...
Text Solution
|
Let vec(a) , vec(b),vec(c) be vectors of length 3,4,5 respectively. Le...
Text Solution
|
The value of 'a' for which the points A, B,C with position vectors ...
Text Solution
|
A paticle acted on by constant forces 4hati=hatj-3hatk and 3hati+hatj-...
Text Solution
|
Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec...
Text Solution
|
If vec(a)= hati - hatj, bar(b) = hat(i) + hat(j), vec(c) = hat(i) + 3h...
Text Solution
|
Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = ...
Text Solution
|
Let vec a , vec ba n d vec c be three units vectors such that 2 vec a...
Text Solution
|
Let vec a = hati+hatj and vec b = 2 hat i - hat k. The point of inters...
Text Solution
|
Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...
Text Solution
|
Unit vector perpendicular to the plane of DeltaABC with position vecto...
Text Solution
|
If vec(b) and vec(c) are two non-collinear vectors such that vec(a)...
Text Solution
|
Find the vector of length 3 unit which is perpendicular to hat i+ ...
Text Solution
|
Given the vertices A(2,3,1), B(4,1,-2), C(6,3,7) and D(-5,-4,8) of a ...
Text Solution
|
For a non zero vector vec(A) . If the equations vec(A).vec(B) = vec...
Text Solution
|
If vecu and vecv are unit vectors and theta is the acute angle bet...
Text Solution
|
If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...
Text Solution
|
If A(1,1,1),C(2,-1,2) the vector equation of the line vec(AB) is v...
Text Solution
|
The value of [(veca -2vecb-vecc)(veca-vecb)( veca-vecb-vecc)] is equal...
Text Solution
|
The volume of the parallelopiped constructed on the diagonals of the f...
Text Solution
|