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