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If |vec p|=2 |vec q|=3 then |vec p xx ve...

If `|vec p|=2` `|vec q|=3` then `|vec p xx vec q|/(sin (vec p , vecq))=`

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Given that vec a , vec b , vec p , vec q are four vectors such that vec a+ vec b=mu vec p , vec b*vec q=0a n d|vec b|^2=1,w h e r emu is a scalar. Then |( vec adot vec q) vec p-( vec pdot vec q) vec a| is equal to (a) 2| vec p . vec q| (b) (1//2)| vec p . vec q| (c) | vec pxx vec q| (d) | vec p . vec q|

Given that vec a , vec b , vec p , vec q are four vectors such that vec a+ vec b=mu vec p , vec b*vec q=0a n d|vec b|^2=1,w h e r emu is a scalar. Then |( vec adot vec q) vec p-( vec pdot vec q) vec a| is equal to (a) 2| vec p . vec q| (b) (1//2)| vec p . vec q| (c) | vec pxx vec q| (d) | vec p . vec q|

Given that vec a , vec b , vec p , vec q are four vectors such that vec a+ vec b=mu vec p , vec b*vec q=0a n d|vec b|^2=1,w h e r emu is a scalar. Then |( vec adot vec q) vec p-( vec pdot vec q) vec a| is equal to (a) 2| vec p . vec q| (b) (1//2)| vec p . vec q| (c) | vec pxx vec q| (d) | vec p . vec q|

Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p""a n d""/_B A D be an acute angle. If vec r is the vector that coincides with the altitude directed from the vertex B to the side AD, then vec r is given by (1) vec r=3 vec q-(3( vec pdot vec q))/(( vec pdot vec p)) vec p (2) vec r=- vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (3) vec r= vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (4) vec r=-3 vec q+(3( vec pdot vec q))/(( vec pdot vec p)) vec p

Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p""a n d""/_B A D be an acute angle. If vec r is the vector that coincides with the altitude directed from the vertex B to the side AD, then vec r is given by (1) vec r=3 vec q-(3( vec pdot vec q))/(( vec pdot vec p)) vec p (2) vec r=- vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (3) vec r= vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (4) vec r=-3 vec q+(3( vec pdot vec q))/(( vec pdot vec p)) vec p

Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p""a n d""/_B A D be an acute angle. If vec r is the vector that coincides with the altitude directed from the vertex B to the side AD, then vec r is given by (1) vec r=3 vec q-(3( vec pdot vec q))/(( vec pdot vec p)) vec p (2) vec r=- vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (3) vec r= vec q+(( vec pdot vec q)/( vec pdot vec p)) vec p (4) vec r=-3 vec q+(3( vec pdot vec q))/(( vec pdot vec p)) vec p

A parallelogram has two adjacent sides which represent the vectors 5vec p + 2 vec q and vec p - 3 vec q where |vec p| = 2 sqrt 2, | vec q|= 3 and vec p, vec q are inclined at an angle pi/4 . Then the length of the shorter diagonal is ______.

If the vectors 3 vec p + vec q ; 5 vec p - 3 vecq and 2 vec p + vec q ; 4 vec p - 2 vec q are pairs of mutually perpendicular then sin( vec p , vec q) is :

If the vectors 3 vec p + vec q ; 5 vec p - 3 vecq and 2 vec p + vec q ; 4 vec p - 2 vec q are pairs of mutually perpendicular then sin( vec p , vec q) is :