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Question: What is the scalar triple product of vectors A = i + j + k, B = 2i + 3j + k, and C = 3i + ..
Question: If vector A = 5i + 12j and vector B = 12i - 5j, what is the angle between A and B?Options:..
Question: If the position vector of point P is given by r = 2i + 3j + 4k, what is the distance from ..
Question: What is the projection of vector A = 6i + 8j onto vector B = 2i + 2j?Options: 86410Correct..
Question: If vector A = 3i + 4j and vector B = 4i + 3j, what is the cross product A × B?Options: -1k..
Question: If A = 2i + 2j and B = 2i - 2j, find A · B. (2021)Options: 04816Correct Answer: 4Exam Year..
Question: If A = 3i + 4j and B = 0i + 0j, what is A · B? (2023)Options: 0347Correct Answer: 0Exam Ye..
Question: If A = 4i + 5j and B = 1i + 2j, calculate the scalar product A · B. (2022)Options: 1415161..
Question: If the vectors A = 6i + 8j and B = 2i + 3j, what is A · B? (2020)Options: 42483630Correct ..
Question: If A = 7i - 2j and B = -3i + 4j, find A · B. (2021)Options: -26-28-30-32Correct Answer: -2..
Question: Given vectors A = i + 2j and B = 3i + 4j, calculate A · B. (2022)Options: 11101213Correct ..
Question: If A = 5i + 2j + 3k and B = 4i - j + 6k, find A · B. (2020)Options: 38323028Correct Answer..
Question: Which sorting algorithm is not in-place?Options: Quick SortMerge SortHeap SortInsertion So..
Question: What is the primary advantage of using Quick Sort over other algorithms?Options: Simplicit..
Question: What is a real-world application of Heap Sort?Options: Sorting a small list of namesImplem..
Question: What is the average time complexity of Merge Sort?Options: O(n)O(n log n)O(n^2)O(log n)Cor..
Question: Which of the following is a characteristic of the Quick Sort algorithm?Options: It uses a ..
Question: What is the main disadvantage of Quick Sort?Options: It is not stableIt is slow for small ..
Question: If cot A = 3/4, what is the value of sin A?Options: 3/54/55/35/4Correct Answer: 3/5Solutio..
Question: If sin 2A = 2 sin A cos A, what is the double angle formula for cosine?Options: cos 2A = c..
Question: Which of the following is a real-world application of Heap Sort?Options: Database sortingR..
Question: What is the space complexity of Quick Sort in the average case?Options: O(1)O(n)O(log n)O(..
Question: In Merge Sort, what is the primary operation performed to combine two sorted arrays?Option..
Question: Which sorting algorithm is typically faster for small datasets?Options: Quick SortMerge So..
Question: Which of the following is the correct identity for (a - b)²?Options: a² - 2ab + b²a² + 2ab..
Question: What is the result of (2x + 3)(2x - 3)?Options: 4x² - 94x² + 94x² - 66x² - 9Correct Answer..
Question: If x = 4 and y = 5, what is the value of x² - y²?Options: -99201Correct Answer: 9Solution:..
Question: What is the value of (x + y)(x - y)?Options: x² + y²x² - y²2xyxyCorrect Answer: x² - y²Sol..
Question: If a = 2 and b = 3, what is the value of (a + b)² - (a² + b²)?Options: 0246Correct Answer:..
Question: What is the primary disadvantage of using Quick Sort?Options: It is not stableIt has a hig..