The vectors 6i + 8j and 8i - 6j are parallel to →OP and →OQ respectively. If the magnitude of →OP and →OQ are 80 units and 120 units respectively, express: →OP and →OQ in terms of i and j;
ii. |→PQ|, in the form c√k, where c and k are constants.
Calculate, correct to one decimal place, the angle between 5 i + 12 j and -2 i + 3 j
Find the equation of the normal to the curve y = \(3x^2 + 2\) at point (1, 5).
The distance S metres moved by a body in t seconds is given by \(S = 5t^3 - \frac{19}{2} t^2 + 6t - 4\). Calculate the acceleration of the body after 2 seconds
Evaluate \(\int^1_0 x(x^2-2)^2 dx\)
