10) let λ 0.60 i .80 j and . 1 → = ˆ + 0 ˆ λ 0.50 i .866 j 2 → = ˆ + 0 ˆ 1. show that both the vectors are unit vectors. 2. is the sum of these two unit vectors also a unit vector? if not, find a unit vector along the sum of λ and . 1 → λ2

2.  

Step-by-step explanation:

Given vectors are:

where, are the unit vectors along positive x and y axes respectively.

A vector is called unit vector if its magnitude (length) is 1 and the magnitude of a vector is given by

Therefore,

The magnitude of =

The magnitude of =

Thus, both the vectors are unit vectors.

The sum of these vectors is given by

The magnitude of the sum of these vectors =

Thus, it is not a unit vector.

The unit vector along the direction of sum of these two vectors is given by