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What is the angle between the position vectors a and b, where a = (6i - j + 3k) and b = (-4i + 2j + 10k)?

cos( AOB ) = a.b /(| a | x | b |) a.b = (6i - j + 3k) . (-4i + 2j + 10k) = (6 x -4) + (-1 x 2) + (3 x 10) = -24 + -2 + 30 = 4 (| a |)^2 = 6^2 + (-1)^2 + 3^2 = 36 + 1 + 9 = 46 -> | a | = 46^(1/2) (| b |)^2...
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Answered by David H. Maths tutor
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What is the myelin sheath?

The myelin sheath is a layer of insulating, fatty material that encases some neurones. The sheath is composed of Schwann cells that have gaps called nodes of Ranvier between them. Potassium and sodium ions c...
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Answered by Alice H. Biology tutor
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What is tonality?

Tonality describes what key a piece is in or what tonal relationships are used. When asked to talk about tonality you should discuss whether the key is major or minor and the different modulations used durin...
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Answered by Alice H. Music tutor
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What are the methods of immobilising enzymes?

There are four methods of enzyme immobilisation: adsorption, covalent bonding, entrapment and membrane separation. Adsorption involves mixing the enyzme with an immobilsing support so the enzyme molecules wi...
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Answered by Alice H. Biology tutor
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Solve the simultaneous equations 3x + 4y = 17 and 4x + y = 14

Eq1: 3x + 4y = 17 Eq2: 4x + y = 14 Eq2 x 4: 16x + 4y = 56 Subtract Eq1 from this to isolate x: 16x + 4y - 3x - 4y = 56 - 17 Simplify: 13x = 39 Solve for x: x = 3 Substitute x into Eq1: 3(3) + 4y = 17 9 + 4y ...
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Answered by David H. Maths tutor
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