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How do you find the angle between two lines in three dimensional vector space given two points on line 1 and the vector equation of line 2

Find the direction vector of line 1 Find the scalar product of the direction vectors of lines 1 and 2 Calculate the magnitude of both direction vectors Use (equation on whiteboard) to find the cosine of the ...
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Answered by Mark M. • Maths tutor
4018 Views

z = 3x + 5y, if x = 7 and z = 41, what is 2y?

z = 3x + 5y 41 = 3(7) +5y 41= 21 + 5y 20 = 5y 4 = y y = 4 2y = 8
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Answered by Hannah A. • Maths tutor
4451 Views

How can I solve quadratic equations by completing the square?

When we have a quadratic (ax 2 + bx + c = 0) we can "complete the square" to solve for x. For example x 2 + 8x + 7 = 0. First look at the x 2 + 8x, in particular the coefficient of x, "b"...
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Answered by Thomas B. • Maths tutor
4177 Views

Write 36% as a fraction in its simplest terms.

36%= 36/100 Divide it by 2, the answer will be 18/50. It can then be divide by 2 again and getting to the answer of 9/25.
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Answered by Li Ying O. • Maths tutor
18762 Views

Find the value of X and Y if X^2 + Y^2 = 13 and 2X + Y = 1

Firstly, since only one equation is linear, substitution must be used. This will allow us to make a quadratic equation with one variable and solve for X and Y. To do this, I will make Y the subject of the fo...
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Answered by Alexis S. • Maths tutor
7184 Views