An insect crawls from `A` to `B` where B is the centre of the rectangular slant face. Find the (a) initial and final position vector of the insect and (b) displacement vector of the insect.
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Position vector of the point A - position vector of the point B is -

A particle is initially at point A(2,4,6)m moves finally to the point B(3,2,-3)m . Write the initial position vector,final position,and displacement vector of the particle.

A particle is initially at point A(2,4,6)m moves finally to the point B(3,2,-3)m . Write the initial position vector,final position,and displacement vector of the particle.

The position vector of the points A and B are respectively vec(a) and vec(b) . Find the position vectors of the points which divide AB in trisection.

A disc is rotating with constant angular velocity omega in anticlockwise direction. An insect sitting at the centre (which is origin of our co-ordinate system) begins to crawl along a radius at time t = 0 with a constant speed V relative to the disc. At time t = 0 the velocity of the insect is along the X direction. (a) Write the position vector (vec(r)) of the insect at time ‘t’. (b) Write the velocity vector (vec(v)) of the insect at time ‘t’. (c) Show that the X component of the velocity of the insect become zero when the disc has rotated through an angle theta given by tan theta = (1)/(theta) .

If vec a and vec b are position vectors of points A and B respectively,then find the position vector of points of trisection of AB

A uniform bar AB of length 6a has been placed on a horizontal smooth table of width 5 a as shown in the figure. Length 2a of the bar is overhanging. Mass of the bar is 4m. An insect of mass m is sitting at the end A of the bar. The insect walks along the length of the bar to reach its other end B. (a) Will the bar topple when the insect reaches end B of the bar ? (b) After the insect reaches at B, another insect of mass M lands on the end A of the bar. Find the largest value of M which will not topple the bar.

If vec a and vec b are position vectors of points Aa n dB respectively, then find the position vector of points of trisection of A B .