If ` vecalpha=3 hat i+4 hat j+5 hat k\ a n d\ vecbeta=2 hat i+ hat j-4 hat k ,` then express ` vecbeta` in the form of ` vecbeta= vecbeta_1+ vecbeta_2w h e r e\ vecbeta_1` is parallel to ` vecalpha\ a n d\ vecbeta_2` is perpendicular to ` vecalphadot`

If with reference to a right handed system of mutually perpendicular unit vectors hat i ,\ hat j ,\ hat k we have vecalpha=3 hat i- hat j ,\ a n d\ vecbeta=2 hat i+ hat j-3 hat kdot Express vecbeta in the form vecbeta= vecbeta_1+ vecbeta_2,\ w h e r e\ vecbeta_1 is parallel to vecalpha\ a n d\ vecbeta_2 is perpendicular to vecalphadot

If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-4 hat k , then express vecbeta in the form of vecbeta= vecbeta_1+ vecbeta_2, where vecbeta_1 is parallel to vecalpha and vecbeta_2 is perpendicular to vecalpha .

If with reference to the right handed system of mutually perpendicular unit vectors hat i , hat j and hat k , vecalpha=3 hat i- hat j , vecbeta=2 hat i+ hat j-3 hat k , then express vecbeta in the from vecbeta=vecbeta_1+ vecbeta_2 , where vecbeta_1 is parallel to vecalpha and vecbeta_2 is perpendicular to vecalpha

If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 hat k , then express vecbeta in the form vecbeta_1+ vecbeta_2, where vecbeta_1\ is parallel to vecalpha and vecbeta is perpendicular to vecalpha .

Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk . If vecbeta = vecbeta_(1) - vecbeta_(2) , where vecbeta_(1) is parallel to vecalpha and vecbeta_(2) is perpendicular to vecalpha , then vecbeta_(1) xx vecbeta_(2) is equal to:

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

Write the value of p for which vec a=3 hat i+2 hat j+9 hat k\ a n d\ vec b= hat i+p hat j+3 hat k are parallel vectors.

If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat k are parallel find the value of mdot

If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d\ vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec c

If vec a= hat i+ hat j- hat k ,\ vec b=- hat i+2 hat j+2 hat k\ a n d\ vec c=- hat i+2 hat j- hat k , then a unit vector normal to the vectors a+b\ a n d\ b-c is