Given vectors $a = 3 i + 2 j$ and $b = 4 i - 5 j$ , evaluate the scalar dot product $a \cdot b$ .

Practise more Calculus, Statistics and Probability.

Free questions with an explanation for every one, and full timed Unified Tertiary Matriculation Examination mock tests.

All Calculus, Statistics and Probability questions Take a mock test

More Calculus, Statistics and Probability questions

Find the first derivative $\frac{d y}{d x}$ of the polynomial function: $y = 3 x^{4} - 5 x^{2} + 7 x - 2$ .
Determine the gradient of the tangent to the curve $y = 2 x^{3} - 4 x + 1$ at the point where $x = 2$ .
Find the equation of the tangent line to the parabola $y = x^{2} - 3 x + 2$ at the point $(3, 2)$ .
Find the equation of the normal to the curve $y = 2 x^{2} + 1$ at the point $(1, 3)$ .
Find the coordinates of the turning points (stationary points) of the cubic curve $y = x^{3} - 3 x$ .
Classify the stationary point of the quadratic function $y = 4 x - x^{2}$ .