Question

Area of a rectangle having vertices A, B, C, and D with position vectors

i+1/2 j +4k,i +1/2 j +4k, i-1/2 j+4k and  i-1/2 j +4k respectively  is

(A) 1/2     (B)   1     (C)   2     ( D)    4

Answer 1

The position vectors of vertices A, B, C, and D of rectangle ABCD are given as:

Now, it is known that the area of a parallelogram whose adjacent sides are

The correct answer is C.