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$If \vec{a}, \vec{b}, and \vec{c} are unit vectors such that \vec{a} + 2 \vec{b} + 2 \vec{c} = \vec{0}, then | \vec{a} \times \vec{c} | is equal to$

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Correct option is A

2b→=−a→−2c→squaring both sides4b→2=a→2+4c→2+4a→.c→4=1+4+4a→.c→⇒a→.c→=−14a¯×c¯2=a¯2c¯2−a¯.c¯2=1-116=1516

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2023 | www.infinitylearn.com

If a→,b→, and c→ are unit vectors such that a→+2b→+2c→=0→ , then |a→×c→| is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$If \vec{a}, \vec{b}, and \vec{c} are unit vectors such that \vec{a} + 2 \vec{b} + 2 \vec{c} = \vec{0}, then | \vec{a} \times \vec{c} | is equal to$