Relative to an origin O, the position vectors of the points A and B are i – 4j and 7i + 20j respectively. The point C lies on AB and is such that AC = (2/3)AB. Find the position vector of C and the magnitude of this vector.

The position vectors of the points A and B, relative to an origin O, are 4i – 21j and 22i – 30j respectively. The poi…

Vectors a, b and c are such that a = (4, 3), b = (2, 2) and c = (-5, 2)

In this question \mathbf{i} is a unit vector due East and \mathbf{j} is a unit vector due North. At 12 00 hours, a sh…

Given that y = e^(x²), find dy/dx.

Matrices A and B are such that A = (-1 4; 7 6) and B = (2 1; 3 5)

A curve is such that dy/dx = 4x + 1/(x+1)² for x > 0. The curve passes through the point (1/2, 5/6).