Home
Class 12
MATHS
Assertion (A) : The area of parallelogra...

Assertion (A) : The area of parallelogram with diogonals `vec(a)` and `vec(b)` is `(1)/(2)|vec(a)xxvec(b)|`.
Rason (R ) : If `vec(a)` and `vec(b)` represent the adjacent sides of a triangle, then the area of triangle can be obtained by evaluating `|vec(a)xxvec(b)|`.

A

Both A and R are true and R is NOT the correct explanation of A

B

Both A and R are true but R is NOT the correct explanation of A

C

A is true but R is false

D

A is false but R is True

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If vec a,vec b,vec c represent the sides of a triangle taken in order,then write the value of vec a+vec b+vec *

If vec a and vec b are two vectors such that |vec a xxvec b|=2, then find the value of [vec a,vec b,vec a xxvec b]

If vec a and vec b are two vectors such that |vec a xxvec b|=2, then find the value of [vec avec bvec a xxvec b]

If vec(A)xxvec(B)=vec(B)xxvec(A) , then the angle between vec(A) and vec(B) is-

Area of a parallelogram with adjacent sides determined by vectors vec a and vec b is 30. Then the area of the parallelogram with adjacentsides determined by vectors (vec a+vec b) and vec a is

Let vec a and vec b besuch that |vec a xxvec b|=9 then the value of [vec avec bvec a xxvec b]=

Assertion: If theta be the angle between vec(A) and vec(B) , then tan theta= (vec(A)xxvec(B))/(vec(A).vec(B)) Reason: vec(A)xxvec(B) is perpendicualr to vec(A).vec(B) .

The value of (vec(A)+vec(B)).(vec(A)xxvec(B)) is :-

Area of a triangle with adjacent sides determined by vectors vec a and vec b is 20. Then the area of the triangle with adjacent sides determined by vectors (2vec a+3vec b) and (vec a-vec b) is