For component of a vector `A=(3hati +4hatj -5hatk )` , match the following co0lumns.
`{:(,"Column I ",,"Column II"),((A),"X-axis",(P),5 "unit"),((B),underset((2hati+hatj+2hatk))"Along another vector ",(Q),3 "Unit"),((C), "Along" (6hati +8hatj-10hatk),(r),Zero),((D), underset((-3hati-4hatj +5hatk))"Along another vector",(s),"None"):}`

Answer

A`to`q, B`to`r , C`to` s, D`to`s

Explanation

`(2hati+hatj+2hatk)` is perpendivular to A because the dot product of these two c vector is zero .
Futher `(5hati+8hatj-10hatk)` vecto0r is parallel to A , so component of A along this vector si magnitude os A which is `5sqrt(2)` unit the last vector i.e `(-3hati-4hatj+5hatjk) ` is anti -parallel to A along this vector is nagative of magnitude of magnitude opd A or `-5sqrt(2)` unit