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The Del operator

i'm going through some tricky vector product arrangements and rearrangements. some involve expressions like phi del (i mean the symbol phi followed by the operator del) - no dot or cross product involved. what exactly does this mean? is it the same as del phi? simply the gradient of phi? i can't find any websits which clarify this

Emma

Answers

Hi Hen,I cannot tell for sure without seeing the work, but I would assume that phi is a scalar functionphi: R^n -> Rand hence phi del = (phi*d/dx_1 , phi*d/dx_2, phi*d/x_3, ...)I hope that clarifies?

dan_martin4961

28 January 2015

Provide a counter example to prove why the following is not a vector space.

A= ((x,y) within R2 / x>=0)

I'm not sure why this is not a vector space. If I remember correctly, a vector space is commutative and associative?

thanks!

Emma

SQA Higher- Vectors

I just cannot understand this question but i know the answer is (-5,-5, 7) I really want to how it's done, this is the question:

VABCD is a pyramid with the rectangle base ABCD The vectors of AB , AD and AV are given by: AB = 8i+2j+2k AD=-2i+10j - 2k AV= i +7j +7k

Express CV in component form ?

Help will be greatly appreciated

Emma