The three planes2x+3y - z - 2 = 03x + 3y+ z - 4 - 0x - y + 2z - 5 = 0intersect ina)A prismb)A pointc)A lined)none of the aboveCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

The equations of the planes are

Let us calculate the determinant A of coefficients.

Since A ≠ 0, therefore the planes will intersect at a point.

Answer

The equations of the planes are

Let us calculate the determinant A of coefficients.

Since A ≠ 0, therefore the planes will intersect at a point.

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