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How do I find the dot product of two 3-dimensional vectors

Example; Let vector v = (2,5,2) and vector u = (1,-2,3),then u · v = [(2 x 1) + (5 x -2) + (2 x 3)] = [2 -10 + 6] = -2 As the workings hopefully make clear in the line above, the general formula for the scal...
TV
Answered by Theo V. • Maths tutor
1576 Views

What is the best way to learn vocabulary?

My advice is to learn in both directions, for translation especially it is vital to have an active vocabulary rather than simply a passive one. Do whatever helps you, post its, reading, using the words in se...
RW
Answered by Robin W. • German tutor
1199 Views

How do you use the subjunctive?

The subjunctive is used in several different cases, for instance, following the set phrase "bien que" or in expressions of wishing or doubt. The subjunctive is not a tense but a mood, so does not h...
RW
Answered by Robin W. • French tutor
2278 Views

How do you meet the person specification?

Structure - sensible progression, signposting. Content - demonstrates understanding of person specification through matching own experiences, consider STARR if relevant. Language/grammar - clarity, correct g...
AL
2914 Views

A curve has equation y = x^2 - 7x. P is a point on the curve, and the tangent to the curve at P has gradient 1. Work out the coordinates of P.

The gradient of the tangent at P (=1) will be equal to the gradient of the curve at point P (=1). The gradient at a point on a curve is given by dy/dx (the differential). First, differentiate the equation of...
ST
3153 Views