Question

If k+1/2j is a unit vector then k can be equal to ?

Answer 1

Explanation:

k=√3/2

Given k=unit vector so,

sum of unit vector is =1

Answer 2

The k value will be equals to √3/2

Given:

ki + 1/2j is a unit vector

To find:

The value of k

Solution:

Unit Vector:

• A vector which has a magnitude of 1 is known as a unit vector.

• Unit vector is also known as Direction Vector.
• Length of vector i.e Magnitude of a unit vector is always equals to 1

Given that ki + 1/2j is a unit vector  

As we know magnitude of given vector = 1

⇒ √(k²+(1/2)² = 1

⇒  k²+(1/2)² = 1       [ Do squaring on both sides ]

⇒  k² + 1/4 = 1

⇒  k² = 1-1/4  

⇒  k² = 3/4

⇒  k = √3/2      

The k value will be equals to √3/2

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