Two particles are located at equal distance from origin. The position vectors of those are represented by A =2 i +3 n j +2 k and B =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 _

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Two particles are located at equal distance from origin. The position vectors of those are represented by A =2 i +3 n j +2 k and B =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 _____ .

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aligned & 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 =+ 3 4 n & 4-6 n 6 n =0 & 12 n =4 & n = 1 3 aligned

Two particles are located at equal distance from origin. The position vectors of those are represented by A =2 i +3 n j +2 k and B =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 _____ .

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