The vectors `5hati+8hatj` and `2i+7hatj` are added. The magnitude of the sum of these vector is

hati and hatj are unit vectors along x-axis and y-axis respectively what is the magnitude and direction of the vector hati+hatj and hati-hatj ? What are the magnitudes of components of a vector veca=2hati+3hatj along the directions of hati+hatj and hati-hatj ?

Given veca=hati+2hatj and vecb=2hati+hatj what are the magnitudes of the two vectors? Are these two vectors equal?

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of the vectors 2hati+4hatj-5hatk and lamda hati+2hatj+3hatk is equal to one. Find the value of lamda .

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

Find the magnitude of vectors vecA=2hati+3hatj-hatk and vecB=6hati-8hatj Find also the resultant of the two vectors and its magnitude.

A vector vec P when added to the sum of the vectors 2hati-3hatj+hatk and -3hati-hatj+hatk gives a unit vector along the x-axis. What is the magnitude of the vector vec P ?

Find a vector which is parallel to vector vecA=4 hati-3 hatj and have the same magnitude as vector vecB=8hati+6hatj .