Question

-j
i) Show that a
is a unit vector,​

Answer 1

Answer:

we know, magnitude of unit vector equals

one.

so, given vector will be a unit vector when its magnitude will be one or 1.

here, a = (i -j) v2

→a = (1/v2)i + (-1/v2)j

we know, if any vector , A = xi + yj are given then magnitude of A = IAI = V{x² + y?}

so, magnitude of a = lal = v[(1/v2)² + (-1/v2)?}

= = v{1/2 + 1/2} = v1 = 1

hence, magnitude of a = lal = 1

so, it is clear that a = (i - j)/V2 is a unit vector.