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Find the shortest distance between the line L: x=1+t, y=1+2t, z=1-t and the point A: (2,3,4)

First, write the line in vector form r=(1 1 1) + t(1 2 -1). Consider a point P on the line such that the line connecting P and A is perpendicular to L. The vector P->A is (2 3 4) - (1 1 1) - ...

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Answered by Zac T. Maths tutor
5887 Views

Why are transition metal complexes coloured?

By definition, all transition metal ions have d orbitals. These are normally degenerate, lying at the same energy level as there is nothing to break the symmetry.

However, in the presence...

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Answered by Zac T. Chemistry tutor
6881 Views

Prove that the difference of any two consecutive square numbers is odd

It is important we first define what we mean by an odd and even number.
An even number is any integer (whole number) number divisible by 2 so we can express any even number as 2x...

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Answered by Amar H. Maths tutor
65051 Views

The tip of each prong of a tuning fork emitting a note of 320Hz vibrates in SHM with an amplitude of 0.50mm. What is the speed of each tip when its displacement is zero?

As with any question that lists numbers, the first thing to do is to note down the known variables:

f = 320 Hz

A = 0.50 mm

x = 0 mm

v = ?

...
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Answered by Ellie S. Physics tutor
16470 Views

How do I approach and present my Artist Research

The best way to do this is to approach it with originality. Express your own opinions of the Artist and their work. If you have had the opportunity to see the artists work in an exhibtion, include this wi...

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Answered by Nancy N. Art tutor
7889 Views

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