The number of integral values of for which the vectors ,

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

The number of integral values of pp for which the vectors (p+1)i^−3j^+pk^(p+1)\hat{i}-3\hat{j}+p\hat{k}, pi^+(p+1)j^−3k^p\hat{i}+(p+1)\hat{j}-3\hat{k}, and −3i^+pj^+(p+1)k^-3\hat{i}+p\hat{j}+(p+1)\hat{k} are linearly dependent is (1) 00 (2) 11 (3) 22 (4) 33

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