Problem based on vector

A pyramid with vertex at point P has a regular hexagonal base A B C D E F , Position vector of points A and B are hat i and hat i + 2 hat j The centre of base has the position vector hat i+ hat j+sqrt(3) hat kdot Altitude drawn from P on the base meets the diagonal A D at point Gdot find the all possible position vectors of Gdot It is given that the volume of the pyramid is 6sqrt(3) cubic units and A P is 5 units.

Prove using vectors: The median to the base of an isosceles triangle is perpendicular to the base.

Classify the quantities displacement, mass, force, time, speed, velocity, acceleration, moment of intertia, pressure and work under the following catagories: (a) base and scalar (b) base and vector (c) derived and scalar (d) derived and vector

In the above problem angle made by velocity vector with x-axis after 1/2 second is

Define unit vector, null vector and position vector .

Problems on Relative Velocity of Rain and Woman

What are pseudo vectors ? Why are they called an axial vector ?

How are bacteriophage vectors advantagous over plasmid vectors?

Is the vector sum of the unit vectors veci and vecj a unit vector? If no, can you multiply this sum by a scalar number to get a unit vector?

The angle between two vector A and B is theta . Vector R is the resultant of the two vectors. If R makes an angle (theta)/(2) with A, then