Cosines of angles made by a vector with X,Y axes are `3//5sqrt(2),4//5sqrt(2)` respectively. If the magnitude of the vector is `10sqrt(2)` then that vector is

If the work done by a force vecF=hati+hatj-8hatk along a givne vector in the xy-plane is 8 units and the magnitude of the given vector is 4sqrt(3) then the given vector is represented as (A) (4+2sqrt(2))hati+(4-2sqrt(2))hatj (B) (4hati+3sqrt(2)hatj) (C) (4sqrt(2)hati+4hatj) (D) (4+2sqrt(2))(hati+hatj)

A vector vecr is inclined at equal angles to the three axes. If the magnitude of vecr is 2sqrt3 units, then find the value of vecr .

The magnitude of two vectors are 16 and 12 units respectively and the magnitude of their scalar product is 98sqrt2 units. The angle between the vectors would be

Assertion: If hat(i) and hat(j) are unit Vectors along x-axis and y-axis respectively, the magnitude of Vector hat(i)+hat(j) will be sqrt(2) Reason: Unit vectors are used to indicate a direction only.

The projection of a vector on the three coordinate axes are 6, -3, 2 , respectively. The direction cosines of the vector are

The magnitude of scalar and vector products of two vectors are 48sqrt(3) and 144 respectively. What is the angle between the two vectors?

What is the cosine of the angle which the vector sqrt(2)hat i+hat j+hat k makes with y-axis?

What is the cosine of the angle which the vector sqrt(2)hat i+hat j+hat k makes with y-axis?

If the magnitudes of two vectors are 2 and 3 and the magnitude of their scalar product is 3 sqrt 2 , then find the angle between the vectors.