Three vectors p, q and r are given as p = î + ĵ + k̂, q = î + 2ĵ + 3k̂, r = 2î + 3ĵ + 4k̂. Which of the following is/are CORRECT?

Question

Accepted Answer

p × (q × r) + q × (r × p) + r × (p × q) = 0. The equation represents the vector triple product identity, which states that the sum of the cyclic permutations of the vector triple products equals the zero vector. This is a fundamental property of vector algebra, confirming that the vectors are arranged in such a way that their cross products cancel each other out.

Three vectors p, q and r are given as p = î + ĵ + k̂, q = î + 2ĵ + 3k̂, r = 2î + 3ĵ + 4k̂. Which of the following is/are CORRECT?

Solution

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