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In the equation of the plane given by ax + by + cz + d = 0: a. b, c denote the
- a)Direction cosines of the normal to the plane
- b)Direction ratios of the normal to the plane
- c)Direction cosines of any line on the plane
- d)Direction cosines of a line parallel to the plane
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In the equation of the plane given by ax + by + cz + d = 0: a. b, c de...
Note that an equation of first degree in x, y, z of the form
Ax + By + Cz + D = 0 ...(i)
represents a plane
d.r.’s of the normal to (i) are A,B,C.
∴ d.e.'s of the normal to (i) are
Ax + By + Cz + D = 0 ...(i)
represents a plane
d.r.’s of the normal to (i) are A,B,C.
∴ d.e.'s of the normal to (i) are
Most Upvoted Answer
In the equation of the plane given by ax + by + cz + d = 0: a. b, c de...
Explanation:
Direction Ratios of the Normal to the Plane:
- In the equation of the plane ax + by + cz + d = 0, the coefficients a, b, and c represent the direction ratios of the normal to the plane.
- The normal to the plane is a vector that is perpendicular to the plane, hence the coefficients of x, y, and z in the equation give us the direction ratios of this normal vector.
Therefore, the correct answer is option B, which states that a, b, c denote the direction ratios of the normal to the plane.
Direction Ratios of the Normal to the Plane:
- In the equation of the plane ax + by + cz + d = 0, the coefficients a, b, and c represent the direction ratios of the normal to the plane.
- The normal to the plane is a vector that is perpendicular to the plane, hence the coefficients of x, y, and z in the equation give us the direction ratios of this normal vector.
Therefore, the correct answer is option B, which states that a, b, c denote the direction ratios of the normal to the plane.
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Community Answer
In the equation of the plane given by ax + by + cz + d = 0: a. b, c de...
Note that an equation of first degree in x, y, z of the form
Ax + By + Cz + D = 0 ...(i)
represents a plane
d.r.’s of the normal to (i) are A,B,C.
∴ d.e.'s of the normal to (i) are
Ax + By + Cz + D = 0 ...(i)
represents a plane
d.r.’s of the normal to (i) are A,B,C.
∴ d.e.'s of the normal to (i) are
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In the equation of the plane given by ax + by + cz + d = 0: a. b, c denote thea)Direction cosines of the normal to the planeb)Direction ratios of the normal to the planec)Direction cosines of any line on the planed)Direction cosines of a line parallel to the planeCorrect answer is option 'B'. Can you explain this answer?
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In the equation of the plane given by ax + by + cz + d = 0: a. b, c denote thea)Direction cosines of the normal to the planeb)Direction ratios of the normal to the planec)Direction cosines of any line on the planed)Direction cosines of a line parallel to the planeCorrect answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about In the equation of the plane given by ax + by + cz + d = 0: a. b, c denote thea)Direction cosines of the normal to the planeb)Direction ratios of the normal to the planec)Direction cosines of any line on the planed)Direction cosines of a line parallel to the planeCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the equation of the plane given by ax + by + cz + d = 0: a. b, c denote thea)Direction cosines of the normal to the planeb)Direction ratios of the normal to the planec)Direction cosines of any line on the planed)Direction cosines of a line parallel to the planeCorrect answer is option 'B'. Can you explain this answer?.
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