Two particles are located at equal distance from origin. The position vectors of those are represented by A ˉ = 2 i ^ + 3 n j ^ + 2 k ^ and B ˉ = 2 i ^ − 2 j ^ + 4 p k ^ , respectively. If both th

Question

Two particles are located at equal distance from origin. The position vectors of those are represented by A ˉ = 2 i ^ + 3 n j ^ ​ + 2 k ^ and B ˉ = 2 i ^ − 2 j ^ ​ + 4 p k ^ , respectively. If both the vectors are at right angle to each other, the value of n − 1 is _____ .

TestHub · Accepted Answer

​ A ⋅ B = 0 4 − 6 n + 8 p = 0 ∣ A ∣ = ∣ B ∣ 4 + 9 n 2 + 4 = 4 + 4 + 16 p 2 9 n 2 = 16 p 2 P = + 4 3 ​ n 4 − 6 n ± 6 n = 0 12 n = 4 n = 3 1 ​ ​

Physics - Vectors Question with Solution | TestHub

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