Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School
Fermi › Problems
If , , , then the area (in sq units) of parallelogram with diagonals and will…
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem If a = 2 i ^ − 3 j ^ + k ^ \mathbf{a} = 2\hat{i} - 3\hat{j} + \hat{k} a = 2 i ^ − 3 j ^ + k ^ , b = − i ^ + k ^ \mathbf{b} = -\hat{i} + \hat{k} b = − i ^ + k ^ , c = 2 j ^ − k ^ \mathbf{c} = 2\hat{j} - \hat{k} c = 2 j ^ − k ^ , then the area (in sq units) of parallelogram with diagonals a + b \mathbf{a} + \mathbf{b} a + b and b + c \mathbf{b} + \mathbf{c} b + c will be
(1) 21 \sqrt{21} 21
(2) 2 21 2\sqrt{21} 2 21
(3) 1 2 21 \frac{1}{2}\sqrt{21} 2 1 21
(4) None of these
Browse the problem library