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If a⃗ and b⃗ are two non-zero vectors such that (a⃗ + b⃗) ⊥ a⃗ and (2a⃗ + b⃗) ⊥ b⃗, then prove that |b⃗| = √2 |a⃗|.
For any two vectors a→ and b→, which of the following statements is always true ?
Assertion (A) : For two non-zero vectors a→ and b→, a→ · b→ = b→ · a→. Reason (R) : For two non-zero vectors a→ and b→, a→ × b→ = b→ × a→.
If →a + →b = î and →a = 2î − 2ĵ + 2k̂, then |→b| equals :
A unit vector along the vector 4î - 3k̂ is :
The magnitude of the vector 6î − 2ĵ + 3k̂ is
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