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How do I show two vectors are perpendicular?

Vectors can describe a line of particular length ("magnitude") and direction. The angle x between two vectors a and b can be found using the formula a.b = | a | | b | cosx. For the vectors to be pe...
SA
Answered by Sarah A. • Maths tutor
130915 Views

Differentiate 2x^3 - xy^2 - 4

Differentiate the first term 2x3 as normal by multiplying the coefficient of x by the power and subtracting the power by 1 to get 6x 2 . For the next term you have to use the product rule as you have two var...
EV
Answered by Elena V. • Maths tutor
3642 Views

The length of a rectangle is five times the width. The area of the rectangle is 180cm^2. Work out the width of the rectangle.

Lets start off by calling the width of rectangle 'w'. The length of the rectangle is 5 times the width, or '5w'. The area of a rectangle can be worked out by multiplying the length by the width, i.e. 5w x w=...
HW
Answered by Hannah W. • Maths tutor
15749 Views

Find the gradient of the line on which the points (1,3) and (3,4) lie and find the y-coordinate of the line at x = 7.

The gradient is m = (y1-y0)/(x1-x0) = (4-3)/(3-1) = 1/2. So the equation of the line is y= x/2 + c where c is a constant. To find the constant, c, we will input one of the given coordinates (1,3). This shows...
RL
Answered by Ryan L. • Maths tutor
3829 Views

Solve the following equation 2x^2+6x=8

2x^2+6x-8=0fx^2+3x-4=0(x-1)(x+4)=0x=-4 or x=1
HR
Answered by Hannah R. • Maths tutor
3399 Views