MHT CET 2024 Mathematics question

MathematicsVector AlgebraMHT CET 2024

Let be vectors of lengths 3 units, 4 units, 5 units respectively. Let be perpendicular to , be perpendicular to and be perpendicular to , then the length of vector is

Answer: (4)

Solution

Let , , . The three conditions give , , . Adding all three: , and combining with gives ; similarly and

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Question ID VK-095693