positive definite invertible

If a reference line on a rigid body rotates through an angle , a point within the body at a position 'r' from the rotation axis moves a distance 's' along a circular arc where 's' is given by ..

If a ray rotates about the starting initial position, in anticlockwise direction, comes back to its original position after 1 complete revolution then it has rotated through 360 o . 1 complete rotation is divided into 360 equal parts. Each part is 1 o . Each part (1 o ) is divid..

d) If an object has a variable speed such that the speed varies at different instants, then the speed at any instant is called the instantaneous speed. If at an instant t, an object covers a distance D s in a small interval of time D t so that D t g 0 [i.e., D t approaches zero] then, The speed is ..

Once an organism is identified and grouped, it is then described in terms of the various taxonomic categories to which it belongs. Such a description is known as systematic position . The following is a description of the systematic position of human being and the hibiscus plant..

If the velocity of an object increases then the object is said to be moving with positive acceleration...

It is due to the difference in the location of the triple bond, i.e.,..

When q is acute, cos q is positive. Hence, the work done is positive. When a body falls freely under the force of gravity, q = 0, cos q = 1. Hence, the work done by gravity is positive. When a gas in a cylinder, fitted with a movable piston, is allowed to..

Position isomerism is the differences that arise in the position of the double bond in the same chain of alkenes. Butene-1 is a position isomer of butene-2 because these differ only in the position of the double bond. CH 3 -CH 2 -CH=CH 2 CH 3 -C..

When the same substituent occupies different positions in organic compounds having same molecular formula, the compounds exhibit position isomerism. For e.g., H 3 C-CH 2 -CH 2 -I is n-propyl iodide or 1-iodopropane and H 3 C-CHI-CH 3 is isopropyl iodide or 2-iodopropane. Note ..

Let the body be at the position B at any instant, after having fallen through a distance x. Potential energy of the body = mg (h - x) If v B is the velocity of the body at B, then v B 2 - 0 2 = 2gx v B 2 = 2gx ..