Question

identify the unit vector in the following

Answer 1

Answer:

the correct answer is| i+ j|/√2

Answer 2

The correct answer is option (d) (i+j)/√2.

• The magnitude of a unit vector is always equal to 1. The magnitude of a vector a+b is √(a²+b²).
• First, we will calculate the magnitude of the vector given in option 1. |i+j| = √(1+1) = √2.

• Now, for the second option |i/√2| = √(1/2) = 1/√2, for the third option |k-j/√2| = √1+1/2 = √3/2.
• Now, for the last option magnitude will be |(i+j)/√2| = √(1/2+1/2) = √1 = 1. So option d is correct as the magnitude comes out to be 1.