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Two lines have equations r = (1,4,1)+s(-1,2,2) and r = (2,8,2)+t(1,3,5). Show that these lines are skew.

Recall that for two lines to be skew they must satisfy two conditions: 1) They must not be parallel. 2) They must not intersect. We shall check each condition individually. Condition 1 The general vector equ...
DA
Answered by Dorian A. • Maths tutor
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Prove that matrix multiplication is not commutative.

At GCSE level, proof questions are relatively rare and largely will all require a similar sort of approach. The difference with A Level is that the syllabus contains more than one method of proof. You will b...
SF
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A satellite is in a stationary orbit above a planet of mass 8.9 x 10^25 kg and period of rotation 1.2 x 10^5 s. Calculate the radius of the satellite's orbit from the centre of the planet.

A body in a stationary orbit will always remain above the same point on the planet as it orbits. For a body to be in such an orbit, it must rotate around the planet in the same direction as the spin of the p...
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Answered by Dorian A. • Physics tutor
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How do you use Pythagoras' Theorem?

Pythagoras' Theorem states that h 2 = a 2 + b 2 . This is where you have a right angled triangle, with sides a, b and h where h is the hypotenuse. For example, if we had a triangle with sides of length 3 and...
RB
Answered by Ryan B. • Maths tutor
5416 Views

How do I do a close reading of a poem?

In order to close read a poem, I would recommend reading the poem over a few times, and to start with highlighting anything that stands out to you. This could include alliteration, capitalisation of words, u...
MT
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