An electric field is expressed as `E = 2 hati +3 hatj`. Find the potential difference `(V_(A)-V_(B))` between two points A and B whose position vectors are given by `r_(A) = hati +2hatj` and `r_(B) = hatj +3hatk`

Find the image of the point whose position vector is hati+2hatj+3hatk in the plane vecr.(hati+2hatj+4hatk)=38 .

Find the potential difference between points a and b in and electric field of which strength in the region is given by the vector as vec(E) = (2hati + 3hatj + 4 hatk) N//C The position vectors of points a and b are given as vec(r)_(a) = (hati - 2hatj +hatk)m and vec(r)_(b) = (2hati +hatj - 2hatjk)m [-1V]

Find the angle between two vectors. A=hati+2hatj-hatk and B=-4hati+hatj-2hatk .

Using scalar triple product prove that the four points whose position vectors are given by the vectors -hatj+hatk , 2hati-hatj-hatk , hati+hatj+hatk and 3hatj+3hatk are coplanar.

Find the position vector of a point R which-divides the line joining two points P and Q whose position vectors are hati+2hatj-hatk and -hati+hatj+hatk respectively, in the ratio 2:1 Internally