Question

60.
What is the component of (3î +4h) along (î+) ?
(1)
L
(2)
3+
Tg
o
(3) 3 (1+i)
(4) 2 (+1)​

Answer 1

Answer:

Explanation:

let A

=3i^+4j^​ and B

=i^+j^​

The component of A

in direction B

=∣A

∣cosθ  where θ is the angle between A

and B

Thus, the magnitude of component of A

in direction B

=∣p

​∣=∣B

∣A

.B

​=2

​3+4​=2

​7​

Now, for the component along the vector (i^+j^​)

p

​=∣p

​∣⋅p^​=2

​7​⋅∣i^+j^​∣i^+j^​​=2

​7​⋅2

​i^+j^​​=27​(i^+j^​)