Motion in a Pla...

If  are two vectors, then the value of  ×  is

If  then select the correct alternative. 

If  are two vectors, then which of the following is a correct statement?

If unit vectors  are inclined at an angle θ,Then is

If the angle between the vectors  is θ, the value of the product is equal to

Find the projection of the vector on the vector is

 The area of the triangle formed by the adjacent sides with and B =is

A body moves 6 m north. 8 m east and 10 m vertically upwards, what is its resultant displacement from initial position is

A man wants to reach from A to the opposite corner of the square C (Figure). The sides of the square are 100m each. A central square of 50m × 50m is filled with sand.

Outside this square, he can walk at a speed 1ms⁻¹. In the central square, he can walk only at a speed of v ms⁻¹(v < 1). What is smallest value of v for which he can reach faster via a straight path through the sand than any path in the square outside the sand?