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How do I calculate the distance between two vectors?

Suppose we have two vectors U(a1,b1) and V(a2,b2). Hence, the distance between U and V will be given by the formula: d=sqrt((a1-b1)+ (a2-b2)2)

RT
Answered by Rares T. Maths tutor
13791 Views

A curve C has the equation x^3 +x^2 -10x +8. Find the points at which C crosses the x axis.

Factorise: (x-2)(x+4)(x-1)

Set equal to 0: (x-2)(x+4)(x-1) = 0

Points are (2,0) (-4,0) (1,0)

WF
Answered by William F. Maths tutor
3036 Views

How to Solve: (11 − w)/4 = 1 + w

Step 1 : First we multiply both sides by 4, this is to eliminate /4 on the lhs(left hand side), and then we multiply the rhs(right hand side) by 4, this gives us (11-w) = 4(1+w) which is then equeal to 11...

JS
Answered by Jahnavi S. Maths tutor
7018 Views

Given that a = 3 and b = 7 ,  What is the value of 2a + b ?

This is a case of substitution. 2(3)+(7) =13

SB
Answered by Shayna B. Maths tutor
5138 Views

The diagram shows a sector ORST of a circle with centre O. OR = OT = 10.4 cm. Angle ROT = 120°. (a) Calculate the length of the arc RST of the sector (3s.f)

Before using a more complex formula it is better to know how to answer the question using a simpler method.

From the diagram we can see that this is a sector from a circle. We need to find out the ...

MC
Answered by Maddie C. Maths tutor
3633 Views

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