If unit vectors `hat(i)` and `hat(j)` are at right angles to each other and `vec(p) = 3 hat(i)+ 4 hat(j) , vec(q)

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Q 2211691529.     If unit vectors `hat(i)` and `hat(j)` are at right angles to each other and

`vec(p) = 3 hat(i)+ 4 hat(j) , vec(q) = 5 hat(i) , 4 vec(r) = vec(p) +vec(q) `, then `2 vec(s) = vec(p) - vec(q)`
A

`| vec(r) + k vec(s) |= | vec(r) -k vec(s) |` for all real `k`

B

`vec(r) ` is perpendicular to `vec(s)`

C

`vec(r) + vec(s) ` is perpendicular to `vec(r) - vec(s)`

D

`| vec(r) | = |vec(s) | = | vec(p) | = | vec(q)|`

HINT


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

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