1,045 prompts matching "Compounding three forces acting at one point"
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Worked example: find the determinant of [[5,2],[3,4]]
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Worked example: find the inverse of [[2,1],[5,3]]
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a president and secretary be chosen from 8 people
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: find the term in x^3 in the expansion of (2x-1)^6
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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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