If `veca=a_1hati+a_2hatj and vecb=b_1 hati+b_2hatj` are non zero vectors then prove that they are paralel if and only if `a_1 b_2-a_2b_1=0`

If veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk calculate veca+vecb

If veca = 2hati -3hatj-1hatk and vecb =hati + 4hatj -2hatk " then " veca xx vecb is

Let veca=hati+2hatj and vecb=2hati+hatj. Is |veca|=|vecb| Are the vectors veca and vecb equal?.

Let veca=2hati-3hatj and vecb=3hati+2hatj. Is |veca|=|vecb|? Are the vectors vec a and vec b equal?

If vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk , then find a unit vector along (vecA-vecB) .

If veca=hati+2hatj-3hatk and vecb=3hati+hatj+2hatk show that the vectors veca+vecb and veca-vecb are perpendicular to other.

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

a_1 hati+a_2hatj is a unit vector perpendicular to 4hati-3hatj if

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk, vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is (pi)/6 , then |(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))|^(2) is equal to

If vecA=2hati+4hatj and vecB=6hati+8hatj and A and B are the magnitudes of vecA and vecB , then find the value of A and B