Find the scalar product of vectors `veca=2hati-hatj+2hatk and vecb=hati-3hatj-5hatk`

Find the scalar and vector products of two vectors veca=(2hati-3hatj+4hatk) and vecb(hati-2hatj+3hatk) .

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

The projection of vector veca=2hati+3hatj+2hatk along vecb=hati+2hatj+1hatk is

Find a unit vector perpendicular to the plane of two vectros. veca=hati-hatj+2hatk and vecb=2hati+3hatj-hatk

Find the sine of the angle between the vectors veca=2hati-hatj+3hatk and vecb=hati+3hatj+2hatk .

Find the vector of magnitude 3, bisecting the angle between the vectors veca=2hati+hatj-hatk and vecb=hati-2hatj+hatk .

Find the projection of vector veca=5hati-hatj-3hatk on the vector vecb=hati+hatj+hatk .

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors " "veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

(i) Find the sum of vectors veca=hati-2hatj+hatk , vecb=-2hati+4hatj+5hatk , and vecc=hati-hatj-7hatk (ii) Find the magnitude of the vector veca=3hati-2hatj+6hatk .