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Vector Algebra
Previous Year Questions (2022-2024)
Year 2022
- Find unit vector in direction of 2i + 3j - k.
Show Solution
|a| = √4+9+1 = √14\nâ = 2√14i + 3√14j - 1√14k - If a = 2i + 3j - k and b = i + 2j + 2k, find a x b and |a x b|.
Show Solution
a x b = |i j k; 2 3 -1; 1 2 2|\n= i(6+2) - j(4+1) + k(4-3)\n= 8i - 5j + k\n|a x b| = √64+25+1 = √90 = 3√10
Year 2023
- Find unit vector in direction of 2i + 3j - k.
Show Solution
|a| = √4+9+1 = √14\nâ = 2√14i + 3√14j - 1√14k - If a = 2i + 3j - k and b = i + 2j + 2k, find a x b and |a x b|.
Show Solution
a x b = |i j k; 2 3 -1; 1 2 2|\n= i(6+2) - j(4+1) + k(4-3)\n= 8i - 5j + k\n|a x b| = √64+25+1 = √90 = 3√10
Year 2024
- Find unit vector in direction of 2i + 3j - k.
Show Solution
|a| = √4+9+1 = √14\nâ = 2√14i + 3√14j - 1√14k - If a = 2i + 3j - k and b = i + 2j + 2k, find a x b and |a x b|.
Show Solution
a x b = |i j k; 2 3 -1; 1 2 2|\n= i(6+2) - j(4+1) + k(4-3)\n= 8i - 5j + k\n|a x b| = √64+25+1 = √90 = 3√10