Question

Find the unit vector in the direction of the vector 3i+4j

3i/5+4j/5
3i/5-4j/5
- 3i/5-4j/5
-3i/5+4j/5

Answer 1

Explanation:

Let

a

=−3

i

+4

j

.

Then,

∣

a

∣=

2

2

+(−1)

2

=

5

Therefore,

A unit vector parallel to

a

is

a

=

∣

a

∣

a

.

a

=

5

1

(2

i

−

j

)=

5

2

i

−

5

1

j

Hence, required vector = 5

a

=5(

5

2

i

−

5

1

j

)=2

5

i

−

5

j

.