# Find resultant of two vectors when the two vectors are (a) along the same direction, (b) along opposite direction, (c) at right angles to each other.

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Find resultant of two vectors when the two vectors are

(a) along the same direction,

(b) along opposite direction,

(c) at right angles to each other.

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Using  R=$\sqrt{P^2+Q^2+2PQ\,cos\,\theta}$

and   $tan\,\alpha=\frac{Q\,sin \theta}{P+Q\,cos\,\theta}$

(a) R = P + Q if α = 0º

(b) R = P – Q or R = Q – P if α = 180º depends on P > Q or Q > P.

(c) R = $\sqrt {P^2+Q^2}\,\alpha=tan^{-1}\frac{Q}{P}$