Q13 of 26 Page 1

For three vectors , then prove that are mutually perpendicular vectors,

Given:


To Prove: are mutually perpendicular vectors and


Proof:


We have,



…(i)


and


…(ii)


From (i) and (ii), we get



Now, taking modulus of eq. (i) and (ii)



We know that,



and


substituting the values, we get




Here,








[from (ii)]




Substituting the value of in eq. (ii), we get





Hence Proved


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OR


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OR


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OR
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Solve for x: .

OR


Prove that: