CDS 2019 PYQ with Answer — If two vectors A→ and B→ are at an angle θ ≠ 0°, then

2019 · Q62

If two vectors A→ and B→ are at an angle θ ≠ 0°, then

General KnowledgePhysics

A|A→| + |B→| = |A→ + B→|
B|A→| + |B→| > |A→ + B→|
C|A→| + |B→| < |A→ + B→|
D|A→| + |B→| = |A→ − B→|

Explanation

For any two vectors, the triangle inequality states that |A + B| <= |A| + |B|, with strict inequality whenever the vectors are not in the same direction, i.e. when the angle between them is not 0 degrees. The sum of the magnitudes therefore exceeds the magnitude of the resultant. Equality would hold only for collinear vectors in the same direction. Hence option B is correct.