Home › CBSE Class 12 (Commerce) › Mathematics › Vector Algebra › The triangle with vertices (1, 0, 0), (0, 1, 0) …
The triangle with vertices (1, 0, 0), (0, 1, 0) and (0, 0, 1) has area
A√3
B3/2
C√3/2
D1/2
Answer & Solution
Correct answer: C. √3/2
Two sides are (−1, 1, 0) and (−1, 0, 1), whose cross product is i + j + k of magnitude √3, and half of it is √3/2.
Related questions
If a · b equals |a||b| for nonzero vectors, the angle between them isUnit vectors a and b satisfy |a + b| = 1. The angle between them isTwo perpendicular vectors have magnitudes 6 and 8. The magnitude of their sum isIf xi + 3j − k equals 2i + yj + zk, then x + y + z isThe vectors 2i + 4j − 6k and i + 2j − 3k areThe direction cosines of 2i − 3j + 6k areThe scalar triple product of three vectors gives the volume of aWhich relation holds for every pair of vectors a and b?