State parallelogram law of vectors addit...

State parallelogram law of vectors addition .Find analytcallly the magnitude and direction of resultant vector, When (i) two vectors are parallel to each other (ii) two vectors are perpendicular to each other.

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Two vectors vecP and vecQ that are perpendicular to each other are :

`vecP = 3hati +3hatj + 2hatk, vecQ = 2hati - 2hatj + 2hatk`

`vecP = 2hati +3hatj + 2hatk, vecQ = 2hati - 2hatj + 2hatk`

`vecP = 2hati -3hatj + 2hatk, vecQ = 2hati - 2hatj - 2hatk`

`vecP = hati -3hatj + 2hatk, vecQ = 2hati - 2hatj + hatk`

Parallelogram law of vectors is applicable to the addition of :

Any two vectors

Two scalars

A vector and a scallar

Two vectors representing same physical quantity.

In parallelogram law of vector, the direction of resultant vector is given by

`tanalpha=(Qcos theta)/(P+Qsin theta`

`tanalpha=(Qsin theta)/(P+Qcos theta`

`tanalpha=(P sin theta)/(P+Qcos theta`

`tanalpha=(P cos theta)/(P+Qcos theta`