Consider the plane P with equation −2x−y+2z = −5 and line L with equations x = 9−5t y = 8−4t z = −3+2t Find two distinct points Q1 and Q2 on the line L at distance 3 to the plane P.

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Q: Find the distance from the point (−1, −2, −3) to the plane 4x - 4y + 4z = 3.

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Q: Find the equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=

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Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: 3. Show that Z, -

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Q: Let Az+By+ Cz=698 be the equation of the plane passing through Po(2,-22,-22) and P, (1,2,3) and…

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