Physics, asked by GajuEstilo8857, 1 month ago

The component of vector 21+3j along the vector i+is.
Find the value of K

Answers

Answered by ayushsingh20032005
0

Answer:

Answer

Let the given vector be

a

=2

i

^

+3

j

^

To find the component of 'a' along

i

^

+

j

^

we have to find unit vector along

i

^

+

j

^

Let the unit vector be

a

^

a

^

=

i

^

+

j

^

i

^

+

j

^

=

2

1

(

i

^

+

j

^

)

Component of

a

along

i

^

+

j

^

=(

a

a

^

)

a

^

=[(2

i

^

+3

j

^

)⋅

2

1

(

i

^

+

j

^

)]

2

1

(

i

^

+

j

^

)

=[

2

1

(2+3)]

2

1

(

i

^

+

j

^

)

=

2

5

[

2

1

(

i

^

+

j

^

)]

=

2

5

i

^

+

2

5

j

^

Component of

a

along

i

^

j

^

=(

a

a

^

)

a

^

=[(2

i

^

+3

j

^

)⋅

2

1

(

i

^

j

^

)]

2

1

(

i

^

j

^

)

=[

2

1

(2−3)]

2

1

(

i

^

j

^

)

=

2

−1

[

2

1

(

i

^

j

^

)]

=−

2

1

i

^

+

2

1

j

^

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