MTH282
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Question: If find
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Question: Find the gradient of the scalar field
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Question: If function. Find the curl
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Question: Find the polar form of Complex number
Answer: )
Question: Given that and , evaluate
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Question: Find the fifth roots of
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Answer: 0
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Answer: 195
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Answer: -10
Question: Given A=1+3j-2k and B=4i-2j+4k, find |3A+2B|
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Answer: -14
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Answer: 2, 1
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Answer: -i+7j+5k
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Answer: 24i+7j-5k
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Answer: 10i+3j+11k
Question: Given that , the is _______
Answer: 12
Answer: twelve
Question: Given function at the point (1, 2,-1),then its rate of change is __________
Answer: 4i+2k
Question: The modulus of the complex number is _______
Answer: 1
Answer: one
Question: The real number and such that is x= ____ and y=_______
Answer: -1, 2
Question: the angle between and is ____ degress
Answer: 79
Question: The projection of the vector on the vector is ___
Answer: 19/9
Answer: 2.11
Question: The work done in moving an object along a vector , if the applied force is is _________
Answer: 9
Question: If and , then is _____________
Answer: -20i-6j-22k
Question: The solution of is ____________
Answer: 4
Question: Given , the value of is _______________
Answer: 1
Question: The solution of at the point (2,-1,1) of the functions and is ________
Answer: 4i-2j
Question: The magnitude of the velocity of a particle which moves along the curve and at any time is ____________
Answer: 18
Question: If the solution of at point (2, -2, -1) is ______________
Answer: 10i-4j-16k
Question: The solution of at point (1, - 1, 1)of the functions and is ____________
Answer: 5
Question: The solution of at point (1, - 1, 1)of the functions and is ____________
Answer: 7i-j-11k
Question: The work done in moving an object along a straight line from (3, 2, -1) to (2, -1, 4) in a force field by
Answer: 15
Question: If and ,then at point (1, 0, -2) is __________
Answer: -4i-8j
Question: The solution of the complex number (3+2i)(2-i) is ___________
Answer: 8+i
Question: The solution of the complex number (3+2i)(2-i) is ___________
Answer: 3-i
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Answer: 6
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Answer: -2
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Answer: 7
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Answer: -6
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Answer: -14
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Answer: 4x
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Answer: 2.24
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Answer: -74
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Answer: 6
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Answer: 4-5i
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Answer: 48, 72
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Answer: -1 -2i
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Answer: -6
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Answer: -4
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Answer: 2, 3/2
Answer: 2, 1.5
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Answer: 2i
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Answer: 16
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Answer: 47.83
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Answer: 0
Answer: 0
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Two vectors are said to be perpendicular if their scalar product is ______ Answer: 0 Question:
Answer: 7
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Answer: 1
Question: The density is an example _______ quantity
Answer: scalar
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at the points (0, 0, 0) is __________
Answer: 5
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at the points (1, -2, 2) is __________
Answer: 19
Question: The projection of the vector 2i-3j+6k on the vector i+2j+k is _______
Answer: 8/3
Answer: 2. 67
Question: The projection of the vector 4i-3j+k on the line passing through the points (2,3, -1) and (-2, -4, 3) is _______
Answer: 1
Question: The work done in moving an object along a straight line from (3, 2, -1) to (2, -1, 4) in a force field given by F=4i-3j+2k is _______
Answer: 15
Question: The work done in moving an object along a vector r=3i+2j-5k, if the applied force is F=2i-j-k is ______
Answer: 9
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is ____________
Answer: 4
Question: The projection of the vector 4i-3j+k on the line passing through the points (2,3, -1) and (-2, -4, 3) is _______
Answer: 1