Calculate the average velocity of the particle whose position vector changes from `vec(r_(1))=5hati+6hatj" to "vec(r_(2))=2hati+3hatj` in a tine 5 second.

If vec(OP_1)=4hati+3hatj and vec(OP_2)=8hati-5hatj find vec(p_1p_2)

Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors vec(A) = 3 hati +4hatj and vec(B) =- 3hati +7 hatj .

A force acting on a body displaces it from position vector vec(r_(1))=(2hati-hatj+3hatk)m" to "vec(r_(2))=(5hati-2hatj+4hatk)m . Then find the displacement vector.

A force acting on a body displaces it from position vector vec(r_(1))=(2hati-hatj+3hatk)m" to "vec(r_(2))=(5hati-2hatj+4hatk)m . Then find the displacement vector.

A constant force vecF=2hati-hatj-hatk moves a particle from position vector vecr_(1)=-5hati-4hatj+hatk to position vector vec r_(2)=-7hati-2hatj+2hatk . What will be the work done by this force ?

A particle has its position moved from vec(r_(1))=3hati+4hatj to vec(r_(2))=hati+2hatj . Calculate the displacment vector (Delta vecr) and draw the vec(r_(1)), vec(r_(2)) and Delta vecr vector in a two dimensional Cartesian coordinate system.

Find the angle between the planes whose vector equations are vec(r). (2 hati + 2 hatj - 3 hatk) = 5 and vec(r). (3 hati - 3 hatj + 5 hatk) = 3 .

The vector vec(A)=6hati+9hatj-3hatkand vecB=2hati+3hatj-hatk are

A force vecF=(2hati+3hatj+4hatk)N displaces a body from position vector vec(r_(1))=(2hati+3hatj+hatk)m to the positive vector vec(r_(2))=(hati+hatj+hatk)m . Find the work done by this force.