Find component of vector `vec(a)=hati+hatj+3hatk` in directions parallel to and perpendicular to vector `vecb=hati+hatj`.

Statement1: A component of vector vecb = 4hati + 2hatj + 3hatk in the direction perpendicular to the direction of vector veca = hati + hatj +hatk is hati - hatj Statement 2: A component of vector in the direction of veca = hati + hatj + hatk is 2hati + 2hatj + 2hatk

Statement1: A component of vector vecb = 4hati + 2hatj + 3hatk in the direction perpendicular to the direction of vector veca = hati + hatj +hatk is hati - hatj Statement 2: A component of vector in the direction of veca = hati + hatj + hatk is 2hati + 2hatj + 2hatk

Decompose the vector 6hati-3hatj-6hatk into vectors which are parallel and perpendicular to the vector hati+hatj+hatk .

Decompose the vector 6 hati - 3 hatj - 6 hatk into vectors which are parallel and perpendicular to the vector hati + hatj + hatk.

Show that the vector vec(A) = hati +hatj +hatk is perpendicular to the vector vec(B) = - hati - hatj +2hatk .

Find the vector components of a vector 2hati+3hatj+6hatk along and perpendicular to the non zero vector 2hati+hatj+2hatk

Find the components of vec(a) = 2hati +3hatj along the direction of vectors hati +hatj and hati - hatj .

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