If the three planes

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

If the three planes r⋅n1=p1\mathbf r \cdot \mathbf n_1 = p_1, r⋅n2=p2\mathbf r \cdot \mathbf n_2 = p_2 and r⋅n3=p3\mathbf r \cdot \mathbf n_3 = p_3 have a common line of intersection, then p1(n2×n3)+p2(n3×n1)+p3(n1×n2)p_1(\mathbf n_2 \times \mathbf n_3) + p_2(\mathbf n_3 \times \mathbf n_1) + p_3(\mathbf n_1 \times \mathbf n_2) is equal to (1) 1 (2) 2 (3) 0 (4) −1-1

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