Unit vector perpendicular to the plane o...

Unit vector perpendicular to the plane of `DeltaABC` with position vectors a,b,c of the vertices A,B,C is

`(axxb+bxxc+cxxa)/(Delta)`

`(axxb+bxxc+cxxa)/(2Delta)`

`(axxb+bxxc+cxxa)/(4Delta)`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos
PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos
PROBABILITY
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

(a) Prove that the normal to the plane containing three points whose position vectors are vec(a), vec(b), vec(c ) lie in the direction of vec(b)xx vec(c )+vec(c )xx vec(a)+vec(a)xx vec(b) . (b) Find the unit vector perpendicular to the plane ABC, where the position vectors of A, B and C are : 2hat(i)-hat(j)+hat(k), hat(i)+hat(j)+2hat(k) and 2hat(i)+hat(k) respectively.

What is the unit vector perpendicular to the plane of vectors A and B ?

Find a unit vector perpendicular to plane ABC when position vectors of A,B,C are 3 hati - hatj + 2hatk, hati - hatj- 3hatk and 4 hati - 3 hatj + hatk respectively.

A unit vector c perpendicular to a=i-j and coplanar with a and b=i+k is

If a=i+j-k,b=i-j+k and c is a unit vector perpendicular to the vector a and coplanar with a and b,then aunit vector d perpendicular to both a and c is

let a,b, and c be three unit vectors such that a is perpendicular to the plane off b and c. if the angle betweenn b annd c is (pi)/(3) , then |axxb-axxc| is equal to

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)

Unit vector perpendicular to the plane of DeltaABC with position vecto...
Text Solution
|
Let O be the origin and let PQR be an arbitrary triangle. The point S ...
Text Solution
|
Let O be the origin and OX, OY, OZ be three unit vectors in the direct...
Text Solution
|
Let O be the origin, and O X , O Y , O Z be three unit vectors ...
Text Solution
|
Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...
Text Solution
|
Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...
Text Solution
|
If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...
Text Solution
|
The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...
Text Solution
|
Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...
Text Solution
|
Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...
Text Solution
|
Let P, Q, R and S be the points on the plane with position vectors -2h...
Text Solution
|
If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...
Text Solution
|
If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...
Text Solution
|
The edges of a parallelopiped are of unit length and are parallel to ...
Text Solution
|
Lelt two non collinear unit vectors hata and hatb form and acute angle...
Text Solution
|
Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...
Text Solution
|
The number of distinct real values of lambda, for which the vectors -l...
Text Solution
|
Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...
Text Solution
|
Let A be vector parallel to line of intersection of planes P1 and P2. ...
Text Solution
|
Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...
Text Solution
|
If vec a , vec b and vec c are three non-zero, non coplanar vecto...
Text Solution
|