Let a^{\to},b^{\to} and c^{\to} be three mutually perpendicular vectors each of unit magnitude.If A^{\to}=a^{\to}+b^{\to}+c^{\to},B^{\to}=a^{\to}-b^{\to}+c^{\to} and C^{\to}=a^{\to}-b^{\to}-c^{\to}, then which one of the following is correct? [NDA II 2018]

Correct Answer is : |→A|=|→B|=|→C|

|A^{\to}| > |B^{\to}| > |C^{\to}|

|A^{\to}|=|B^{\to}|\neq|C^{\to}|

|A^{\to}|\neq|B^{\to}|\neq|C^{\to}|

NDA Math Vector Algebra

Question : 42 of 101

Marks: +1, -0

Let

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and

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be three mutually perpendicular vectors each of unit magnitude.If

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−

→

and

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−

→

−

→

, then which one of the following is correct?

[NDA II 2018]

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