defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Vector Algebra Scalar and Vector Product
Let \(\rm \vec a=3\hat i+\hat j-2\hat k, \vec b=4\hat i+\hat j+7\hat k\ and \ \vec c=\hat i-3\hat j+4\hat k\) be three vectors. If a vectors p satisfies \(\rm \vec p\times \vec b=\vec c\times \vec b\) and \(\rm \vec p.\vec a=0\ then\ \vec p.(\hat i-\hat j-\hat k)\) is equal to
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