Write two different vectors having same direction.

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Q 1431112022.     Write two different vectors having same direction.
A

`vec{a}=hat i+hat j+hat k,vec{b}=2hat i+3hat j+hat k`

B

`vec{a}=hat i+hat j+hat k,vec{b}=3hat i+3hat j+hat k`

C

`vec{a}=hat i+hat j+hat k,vec{b}=3hat i+3hat j+3hat k`

D

`vec{a}=hat i+hat j+hat k,vec{b}=2hat i-3hat j-hat k`

HINT

wo vectors are said to be equal if they have the same direction,but their magnitude can be different. Direction cosines of a vector are `(frac{a_1}{sqrt{a_1^2+a_2^2+a_3^2}},frac{a_2}{sqrt{a_1^2+a_2^2+a_3^2}},frac{a_3}{sqrt{a_1^2+a_2^2+a_3^2}})`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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