What is the angle between -k- and -

The correct option is D none of these cos θ = (î +ĵ +k̂ ).(î ) √( 1+1+1 ) .√( 1 ) #160; = 1+0+0 √( 3 ) .√( 1 ) #160; = 1/√( 3 ) which gives: θ = ...

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Byju's Answer

Standard XII

Physics

Work Done as Dot Product

What is the a...

Question

What is the angle between $^i +^j +^k$ and $^i$ ?

\frac{π}{3}

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\frac{π}{4}

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\frac{π}{6}

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none of these

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Solution

The correct option is D none of these
$c o s θ = \frac{(^i +^j +^k) . (^i)}{\sqrt{1 + 1 + 1} . \sqrt{1}} = \frac{1 + 0 + 0}{\sqrt{3} . \sqrt{1}} = 1 / \sqrt{3}$

which gives: $θ = c o s^{- 1} \frac{1}{\sqrt{3}}$

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What is the angle between ^i+^j+^k and ^i?

The correct option is D none of thesecos θ=(^i+^j+^k).(^i)√1+1+1.√1=1+0+0√3.√1=1/√3which gives: θ=cos−11√3

What is the angle between $^i +^j +^k$ and $^i$ ?

The correct option is D none of these
$c o s θ = \frac{(^i +^j +^k) . (^i)}{\sqrt{1 + 1 + 1} . \sqrt{1}} = \frac{1 + 0 + 0}{\sqrt{3} . \sqrt{1}} = 1 / \sqrt{3}$

which gives: $θ = c o s^{- 1} \frac{1}{\sqrt{3}}$