Let i , j and k be the unit vectors along the three positive coordinate axes. Let a = 3 i + j - k , b = i +...

Question

Let i , j and k be the unit vectors along the three positive coordinate axes. Let a = 3 i + j - k , b = i + b_2 j + b_3 k , b_2, b_3 R , c = c_1 i + c_2 j + c_3 k , c_1, c_2, c_3 R be three vectors such that b_2b_3 > 0, a b = 0 and pmatrix 0 & -c_3 & c_2 c_3 & 0 & -c_1 -c_2 & c_1 & 0 pmatrix pmatrix 1 b_2 b_3 pmatrix = pmatrix 3 - c_1 1 - c_2 -1 - c_3 pmatrix . Then, which of the following is/are TRUE ?

Accepted Answer

(B),(C),(D)

JEE Advanced 2022 Mathematics question

Solution

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