If a⃗ and b⃗ are non-zero vectors such that |a⃗+b⃗|=|a⃗-2 b⃗|, then (1) 2 a⃗·b⃗=|b⃗|^2 (2) a⃗·b⃗=...

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For two non-zero vectors a⃗ and b⃗,rite when |a⃗+b⃗|=|a⃗|+|b⃗| holds.For two non-zero vectors a⃗ and b⃗,rite when |a⃗+b⃗|=|a⃗|+|b⃗| holds.
The angle between vectors (A⃗×B⃗) and (B⃗×A⃗) is [WB-JEE 2009] (a) Zero (b) π (c) π / 4 (d) π / 2The angle between vectors (A⃗×B⃗) and (B⃗×A⃗) is [WB-JEE 2009] (a) Zero (b) π (c) π / 4 (d) π / 2
If unit vectors a⃗ and b⃗ are inclined at an angle 2 θ such that |a⃗-b⃗|1 and 0 ≤θ≤π, then θ lies...If unit vectors a⃗ and b⃗ are inclined at an angle 2 θ such that |a⃗-b⃗|1 and 0 ≤θ≤π, then θ lies...
For non-zero vectors a⃗, b⃗, c⃗,|a⃗×b⃗·c⃗|=|a⃗||b⃗||c⃗| holds if and only if ;(A) a⃗·b⃗=0, b⃗·c⃗=...For non-zero vectors a⃗, b⃗, c⃗,|a⃗×b⃗·c⃗|=|a⃗||b⃗||c⃗| holds if and only if ;(A) a⃗·b⃗=0, b⃗·c⃗=...
For non-zero vectors a⃗, b⃗, c⃗,|a⃗×b⃗·c⃗|=|a⃗||b⃗||c⃗| holds if and only if; (A) a⃗·b⃗=0, b⃗·c⃗=...For non-zero vectors a⃗, b⃗, c⃗,|a⃗×b⃗·c⃗|=|a⃗||b⃗||c⃗| holds if and only if; (A) a⃗·b⃗=0, b⃗·c⃗=...
If ` vec a and vec b` are two non-zero vectors such that `| vec a xx vec b| = vec a . vec b`, t...If ` vec a and vec b` are two non-zero vectors such that `| vec a xx vec b| = vec a . vec b`, t...
Let a⃗=a_1î+a_2ĵ+a_3k̂, b⃗=b_1î+b_2ĵ+b_3k̂ and c⃗=c_1î+c_2ĵ+c_3k̂ be three non-zero vectors such ...Let a⃗=a_1î+a_2ĵ+a_3k̂, b⃗=b_1î+b_2ĵ+b_3k̂ and c⃗=c_1î+c_2ĵ+c_3k̂ be three non-zero vectors such ...
Let r⃗, a⃗, b⃗ and c⃗ be four non-zero vectors such that r⃗·a⃗=0,|r⃗×b⃗|=|r⃗||b⃗| and |r⃗×c⃗|=|r⃗...Let r⃗, a⃗, b⃗ and c⃗ be four non-zero vectors such that r⃗·a⃗=0,|r⃗×b⃗|=|r⃗||b⃗| and |r⃗×c⃗|=|r⃗...