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Maths
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How would you show that a vector is normal to a plane in 3D space?

There are 2 main methods for finding a normal vector.

  1. If you know two vectors that lie in the plane e.g. (a,b,c) and (d,e,f), we can find a normal vector by calculating the vector/cross p...

FK
Answered by Fionn K. Maths tutor
28455 Views

Work out 416 + 49 + 274

739

IM
Answered by Isobel M. Maths tutor
3962 Views

Kieran, Jermaine and Chris play football. Kieran has scored 8 more goals than Chris. Jermaine has scored 5 more goals than Kieran. Altogether they have scored 72 goals. How many goals did Jermaine score?

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we c...

DC
Answered by Daniel C. Maths tutor
18951 Views

Find the gradient of the exponential curve y(x)=(9e^(7x))/(12e^(2x)) at x=2/5

According to the quotient rule, when y(x)=f(x)/g(x), y'(x)=(f'(x)g(x)-g'(x)f(x))/g(x)2

f(x)=9e7x f'(x)=63e7x, g(x)=12e2x g'(x)=24e2x

y...

CM
Answered by Connor M. Maths tutor
3425 Views

Use the double angle formulae and the identity cos(A+B)≡cos(A)cos(B)−sin(A)sin(B) to obtain an expression for cos 3x in terms of cos x only

To answer, you need to know and be able to use your trigonometric formulae including the double angle formulae on data sheet.

1: cos(3x)=cos(2x+x) = cos(2x)cos(x) - sin(2x)sin(x)        split the 3...

SH
Answered by Sam H. Maths tutor
18460 Views

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