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What is the meaning of vector cross product?

A binary operation between two vectors it results in another vector perpendicular to the two input ones meaning it is the normal of the plane containing the two vectors involved in the operation. An advanced...
AM
Answered by A M S. • Maths tutor
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P has coordinates (3,4), Q has coordinate (a,b), a line perpendicular to PQ has equation 3x+2y=7. Find an expression for b in terms of a

Rearrange the equation of the line perpendicular to PQ to give y = -(3/2)x + 7/2. Gradient of this line = -3/2Using the knowledge that the gradients of a line perpendicular to another line is related by a fa...
JL
Answered by Jack L. • Maths tutor
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Solve by factorisation. 2x(^2)+5x-12=0

To factorise and solve for x, open two sets of brackets, i.e: (x )(x ). For this question note than one x should be replaced by 2x such that (2x )(x ). List the pairs of numbers that give a product of 12, i....
EW
Answered by Emily W. • Maths tutor
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How can I get better at Mathematics? I am struggling with confidence and achieving low grades.

This is a really common situation so firstly, don't panic! Everyone can do well in mathematics with proper practice and you are certainly no exception. Here's my advice:Set a regular practice time, try and i...
MR
Answered by Michael R. • Maths tutor
3913 Views

Prove algebraically that the square of any odd number is always also an odd number.

Firstly, an algebraic expression of an odd number should be identified, such as 2n+1 or 2n-1. Doing this would also indicate the knowledge that 2n is always an even number, which will be important further on...
MH
Answered by Matthew H. • Maths tutor
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