If - b- are unit vectors such that -b- - 0 - - and the angle between b- and - is - - 3- then the value of -b- -

The correct option is B 1 |â×b̂ â× #160; ĉ| â× |b̂ ĉ|= |a| |b̂ ĉ| . sinθ √(b^2+ c^2 2bc)= 1.1. sinθ =√(1+1 1) = sinθ #160;Both ...

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Byju's Answer

Standard XII

Physics

Work Done as Dot Product

If â, b̂,ĉ ...

Question

If $^a,^b,^c$ are unit vectors such that $^a .^b = 0 =^a .^c$ and the angle between $^b$ and $^c$ is $π / 3$ , then the value of $∣ ∣^a \times^b -^a \times^c ∣ ∣$

1/2

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Solution

The correct option is B 1
$|^a \times^b -^a \times^c |$
$^a \times |^b -^c | = | a | |^b -^c | . sin θ$
$\sqrt{b^{2} + c^{2} - 2 b c} = 1.1. sin θ$
$= \sqrt{1 + 1 - 1} = sin θ$
Both $a x ⊥ 4 l$ .
$= 1$
$= 1$

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If ^a,^b,^c are unit vectors such that ^a.^b=0=^a.^c and the angle between ^b and ^c is π/3, then the value of ∣∣^a×^b−^a×^c∣∣

The correct option is B 1|^a×^b−^a×^c|^a×|^b−^c|=|a||^b−^c|.sinθ√b2+c2−2bc=1.1.sinθ=√1+1−1=sinθ Both ax⊥4l.=1=1

If $^a,^b,^c$ are unit vectors such that $^a .^b = 0 =^a .^c$ and the angle between $^b$ and $^c$ is $π / 3$ , then the value of $∣ ∣^a \times^b -^a \times^c ∣ ∣$

The correct option is B 1
$|^a \times^b -^a \times^c |$
$^a \times |^b -^c | = | a | |^b -^c | . sin θ$
$\sqrt{b^{2} + c^{2} - 2 b c} = 1.1. sin θ$
$= \sqrt{1 + 1 - 1} = sin θ$
Both $a x ⊥ 4 l$ .
$= 1$
$= 1$