If vectors and represent the adjacent sides of a parallelogram such that and , what is the area of the parallelogram?
Answer and explanation
Correct answer: A.
- Step 1: Area of parallelogram is given by .
- Step 2: Compute cross product: .
- Step 3: Magnitude is .
Answer
.
Why not the others: forgets the square root of 2; evaluates ; and doubles the scalar factor.
Practise more Algebra and Calculus.
Free questions with an explanation for every one, and full timed CBSE Class 12 mock tests.
More Algebra and Calculus questions
- Let be a binary relation defined on a non-empty set . Under which condition is classified as an equivalence relation?
- What is the principal value branch of the inverse trigonometric function ?
- What is the exact principal value of ?
- For two conformable square matrices and , which of the following expressions is always identical to ?
- What is the value of all main diagonal elements in any real skew-symmetric matrix ?
- If is an invertible square matrix of order with determinant , what is the value of ?