Vector `P=6hati+4sqrt(2)hatj+4sqrt(2)hatk` makes angle from Z-axas equal to

Magnitude of the vectors 2/(sqrt(3))hati+2/(sqrt(3))hatj+2/(sqrt(3))hatk is equal to

What is the value of the resultant of three vectors hati , hatj and sqrt(2)hatk ? What angle of inclination does the resultant make with x,y and z axes ?

Find the angles which the vector vec(a)=hati-hatj+sqrt(2)hatk makes with the co-ordinate axes.

If the vectors vecb = tanalpha hati = hatj+2, sqrt(sinalpha/2hatk) , and vecc=tan alpha hati + tan alpha hatj-3/sqrt(sin alpha/2)hatk are orthogonal and a vector veca = hati + 3hatj + sin 2alpha hatk makes an obtuse angle with the z-axis, then the value of alpha is

Find the angles which the vector veca = hati-hatj+sqrt2 hatk makes with the coordinates axes.

If theta is the angle between the vectors 2hati-2hatj+4hatk and 3hati+hatj+2hatk , then sin theta is equal to

If theta is the angle between the vectors 2hati-2hatj+4hatk and 3hati+hatj+2hatk , then sin theta is equal to

Magnitude of the vector 2/sqrt3hati+2/sqrt3hatj+2/sqrt3hatk is equal to :

What is the interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt2) hati + (1)/(sqrt2) hatj + hatk and (1)/(sqrt2) hati - (1)/(sqrt2) hatj +hatk ?