" The vectors "vec a=xhat i-2j+5k" and "vec b=hat i+yj-zk" are collinear if "

The vectors vec a=xhat i-2hat j+5hat k and vec b=hat i+yhat j-zhat k are collinear if

The set of values of x for which the angle between the vectors vec a=xhat i-3hat j-hat k and vec b=2xhat i+xhat j-hat k acute and the angle between the vector vec b and the axis of ordinates is obtuse,is

Find the values of x,y and z so that the vectors vec a=xhat i+2hat j+zhat k and vec b=2hat i+hat yhat j+hat k are equal.

Find the value of x,y and z so that the vectors vec a=xhat i+2hat j+zhat k and vec b=2hat i+yhat j+hat k are equal.

The values of x for which the angle between the vectors vec a=xhat i-3hat j-hat k and vec b=2xhat i+xhat j-hat k is acute and the angle between b and y-axis lies between (pi)/(2) and pi are:

If the vectors vec A=hat i+hat j+3hat k and vec B=xhat i-2hat j-hat k are perpendicular to each other then the positive value of x is

If the vectors vec c,vec a=xhat i+yhat j+zhat k and vec b=hat j are such that vec a,vec c and vec b form a right handedsystem,then vec c is

If the vectors vec c,vec a=xhat i+yhat j+zhat k and vec b=hat j are such that vec a,vec c and vec b form a right-handed system,then find vec c .

Find the least positive integral value of x for which the angel between vectors vec a=xhat i-3hat j-hat k and vec b=2xhat i+xhat j-hat k is acute.

Find the value of x and y if the vectors vec a=3hat i+xhat j-hat k and vec b=2hat i+hat j+yhat k are mutually perpendicular vectors of equal magnitude.