If a parallelogram is formed with two sides represented by vector `vec(a)` and `vec(b)`, then `vec(a)+vec(b)` represents the

ABCD is a parallelogram whose adjacent sides are represented by he vectors vec(a) and vec(b) . Three of its vertices are A(1,2,3),B(2,0,5) and D(-1,4,1). The vector vec(a)= _______.

Given two vectors vec(A)=3hat(i)+hat(j)+hat(k) and vec(B)=hat(i)-hat(j)-hat(k) .Find the a.Area of the triangle whose two adjacent sides are represented by the vector vec(A) and vec(B) b.Area of the parallelogram whose two adjacent sides are represented by the vector vec(A) and vec(B) c. Area of the parallelogram whose diagnoals are represented by the vector vec(A) and vec(B)

Given two vectors vec(A)=3hat(i)+hat(j)+hat(k) and vec(B)=hat(i)-hat(j)-hat(k) .Find the a.Area of the triangle whose two adjacent sides are represented by the vector vec(A) and vec(B) b.Area of the parallelogram whose two adjacent sides are represented by the vector vec(A) and vec(B) c. Area of the parallelogram whose diagnoals are represented by the vector vec(A) and vec(B)

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=hat i+alphahat j+3hat k and vec b=3hat i-alphahat j+hat k .If the area of the parallelogram whose adjacent sides are represented by the vectors vec a and vec b is 8sqrt(3) square units,then vec a*vec b is equal to

What are the properties fo two vectors vec(a) and vec(b) such that vec(a) + vec(b) = vec(a) - vec(b) ?

For any two vectors vec(a) and vec(b) , show that | vec (a).vec(b)| le |vec(a)||vec(b)|