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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→| = 2 and – 3 ≤ k ≤ 2, then |ka→| ∈ :
The vectors →a = 2î – ĵ + k̂, →b = î – 3ĵ – 5k̂ and →c = –3î + 4ĵ + 4k̂ represents the sides of
If →a + →b = î and →a = 2î − 2ĵ + 2k̂, then |→b| equals :
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