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If vec(z(1)) = a hat(i) + b hat(j) and v...

If `vec(z_(1)) = a hat(i) + b hat(j) and vec(z_(2)) = c hat(i) + d hat(j)` are two vectors in `hat(i)` and `hat(j)` system where `|vec(z_(1))| = |vec(z_(2))| = r ` and `vec(z_(1)).vec(z_(2)) = 0` then `vec(w_(1)) = ahat(i) + chat(j)` and `vec(w_(2)) = b hat(i) + d hat(j)` satisfy .

A

`|vec(w_(1))| = r`

B

`|vec(w_(2))| = r`

C

`vec(w_(1)) .vec(w_(2)) = 0`

D

None of these

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The correct Answer is:
A, B, C
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