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Two lines have equations r_1=(1,-1,2)+a(-1,3,4) and r_2=(c,-4,0)+b(0,3,2). If the lines intersect find c:

If the lines intersect the position vectors r_1 and r_2 must be equal at the point of intersection, so: (1,-1,2)+a(-1,3,4)=(c,-4,0)+b(0,3,2) which gives three equations for the three components: 1-a=c, -1+3a...
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Answered by Aleksandar Z. • Maths tutor
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Should you structure your argument in an essay by writing one side and then the other, or write it paragraph by paragraph?

Both of these are acceptable, but I would advise writing it paragraph by paragraph, as quite often students run out of time in the exam and that way at least you've covered both sides of the argument. It als...
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find f'(x) of (x^2) + 3x + 2.

2x + 3
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Answered by Rohan P. • Maths tutor
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how is a proton gradient set up and maintained across the inner mitochondrial membrane?

H+ ions and electrons released from NADH and FADH2,on to the inner mitochondrial membrane. electrons enter electron transport chain, and energy released from transfer of electrons is used to pump H+ ions int...
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Answered by Rohan P. • Biology tutor
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integrate xsin(x)

This question is to be done by integration by parts because it has "two types" of integrals. To perform integration by parts, we need to first split the function into its two parts, producing x and...
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Answered by Sam F. • Maths tutor
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