If a→ and b→ are the two vectors. R→ resultant of a→, b→ as shown. θ=90o List - I List - IIA.Component of a→ along b→(i)a2 + b2B.Component of b→ along a→(ii)0CComponent of R along a→(iii)R sin αD.Component of R along b→(iv)R cos α ABCD1.iiiiiiiv2.iiiiiiiiv3.iiiviiii4.iiiiviii

∵θ=90o Component of a→ along b→ and Component of b→ along a→ will be zero.Component of R along a→ = R sin⁡αComponent of R along b→ = R cos⁡α

If a→ and b→ are the two vectors. R→ resultant of a→, b→ as shown. θ=90o List - I List - IIA.Component of a→ along b→(i)a2 + b2B.Component of b→ along a→(ii)0CComponent of R along a→(iii)R sin αD.Component of R along b→(iv)R cos α ABCD1.iiiiiiiv2.iiiiiiiiv3.iiiviiii4.iiiiviii

∵θ=90o Component of a→ along b→ and Component of b→ along a→ will be zero.Component of R along a→ = R sin⁡αComponent of R along b→ = R cos⁡α

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If $\vec{a} and \vec{b}$ are the two vectors. $\vec{R}$ resultant of $\vec{a}, \vec{b}$ as shown. $(θ = 90^{o})$
List - I List - II
A. Component of $\vec{a}$ along $\vec{b}$ (i) a² + b²
B. Component of $\vec{b}$ along $\vec{a}$ (ii) 0
C Component of R along $\vec{a}$ (iii) R sin α
D. Component of R along $\vec{b}$ (iv) R cos α
A B C D
1. i ii iii iv
2. ii ii iii iv
3. ii iv ii ii
4. ii i iv iii

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answer is B.

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Detailed Solution

$∵ θ = 90^{o}$

Component of $\vec{a}$ along $\vec{b}$ and Component of $\vec{b}$ along $\vec{a}$ will be zero.

Component of R along $\vec{a}$ = $R \sin α$

Component of R along $\vec{b}$ = $R \cos α$

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