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Let α, β, γ be the angles that a line makes with x-axis and y-axis, z-axis respectively. Which of the following relations does not hold
- a)cos2α + cos2β + cos2γ = 1
- b)sin2α + sin2β + sin2γ = 1
- c)sin2α + sin2β + sin2γ = 2
- d)cos2α + cos2β + sin2γ = 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let α, β,γ be the angles that a line makes with x-axi...
In fact, statement (a) is
Note: About Projections:
1. Projection of a point Pon a line is the foot of perpendicular from Pon the line.
2. Projection of a point P on a plane is the foot of perpendicular from Pon the plane.
3. Projection of a line segment PQ on another lin e A B is P' Q', where P' and Q' are respectively the projections of P and Q on the line AB. If θ is the angle between the lines PQ' and AB, then P' Q' - PQ cos θ
4. Projection PQ' of a line joining two points P( x1, y1 z1) and Q(x2, y2, z2) on another line whose direction cosines are [l, m, n] is given by
P Q' - l{x2 - x1) + m(y2 - y1) + n(z2 - z1 )
5. Projection of a broken line consisting of continuous segments PQ1, Q1 Q2, Q2 Q3 ..., Qn Q on another line AB is the same as the projection oflinc PQ on AB.
Note: About Projections:
1. Projection of a point Pon a line is the foot of perpendicular from Pon the line.
2. Projection of a point P on a plane is the foot of perpendicular from Pon the plane.
3. Projection of a line segment PQ on another lin e A B is P' Q', where P' and Q' are respectively the projections of P and Q on the line AB. If θ is the angle between the lines PQ' and AB, then P' Q' - PQ cos θ
4. Projection PQ' of a line joining two points P( x1, y1 z1) and Q(x2, y2, z2) on another line whose direction cosines are [l, m, n] is given by
P Q' - l{x2 - x1) + m(y2 - y1) + n(z2 - z1 )
5. Projection of a broken line consisting of continuous segments PQ1, Q1 Q2, Q2 Q3 ..., Qn Q on another line AB is the same as the projection oflinc PQ on AB.
Most Upvoted Answer
Let α, β,γ be the angles that a line makes with x-axi...
In fact, statement (a) is
Note: About Projections:
1. Projection of a point Pon a line is the foot of perpendicular from Pon the line.
2. Projection of a point P on a plane is the foot of perpendicular from Pon the plane.
3. Projection of a line segment PQ on another lin e A B is P' Q', where P' and Q' are respectively the projections of P and Q on the line AB. If θ is the angle between the lines PQ' and AB, then P' Q' - PQ cos θ
4. Projection PQ' of a line joining two points P( x1, y1 z1) and Q(x2, y2, z2) on another line whose direction cosines are [l, m, n] is given by
P Q' - l{x2 - x1) + m(y2 - y1) + n(z2 - z1 )
5. Projection of a broken line consisting of continuous segments PQ1, Q1 Q2, Q2 Q3 ..., Qn Q on another line AB is the same as the projection oflinc PQ on AB.
Note: About Projections:
1. Projection of a point Pon a line is the foot of perpendicular from Pon the line.
2. Projection of a point P on a plane is the foot of perpendicular from Pon the plane.
3. Projection of a line segment PQ on another lin e A B is P' Q', where P' and Q' are respectively the projections of P and Q on the line AB. If θ is the angle between the lines PQ' and AB, then P' Q' - PQ cos θ
4. Projection PQ' of a line joining two points P( x1, y1 z1) and Q(x2, y2, z2) on another line whose direction cosines are [l, m, n] is given by
P Q' - l{x2 - x1) + m(y2 - y1) + n(z2 - z1 )
5. Projection of a broken line consisting of continuous segments PQ1, Q1 Q2, Q2 Q3 ..., Qn Q on another line AB is the same as the projection oflinc PQ on AB.
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Let α, β,γ be the angles that a line makes with x-axis and y-axis, z-axis respectively. Which of the following relations does not holda)cos2α + cos2β+cos2γ= 1b)sin2α + sin2β+sin2γ= 1c)sin2α + sin2β+sin2γ= 2d)cos2α + cos2β+sin2γ= 0Correct answer is option 'B'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let α, β,γ be the angles that a line makes with x-axis and y-axis, z-axis respectively. Which of the following relations does not holda)cos2α + cos2β+cos2γ= 1b)sin2α + sin2β+sin2γ= 1c)sin2α + sin2β+sin2γ= 2d)cos2α + cos2β+sin2γ= 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let α, β,γ be the angles that a line makes with x-axis and y-axis, z-axis respectively. Which of the following relations does not holda)cos2α + cos2β+cos2γ= 1b)sin2α + sin2β+sin2γ= 1c)sin2α + sin2β+sin2γ= 2d)cos2α + cos2β+sin2γ= 0Correct answer is option 'B'. Can you explain this answer?.
Let α, β,γ be the angles that a line makes with x-axis and y-axis, z-axis respectively. Which of the following relations does not holda)cos2α + cos2β+cos2γ= 1b)sin2α + sin2β+sin2γ= 1c)sin2α + sin2β+sin2γ= 2d)cos2α + cos2β+sin2γ= 0Correct answer is option 'B'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let α, β,γ be the angles that a line makes with x-axis and y-axis, z-axis respectively. Which of the following relations does not holda)cos2α + cos2β+cos2γ= 1b)sin2α + sin2β+sin2γ= 1c)sin2α + sin2β+sin2γ= 2d)cos2α + cos2β+sin2γ= 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let α, β,γ be the angles that a line makes with x-axis and y-axis, z-axis respectively. Which of the following relations does not holda)cos2α + cos2β+cos2γ= 1b)sin2α + sin2β+sin2γ= 1c)sin2α + sin2β+sin2γ= 2d)cos2α + cos2β+sin2γ= 0Correct answer is option 'B'. Can you explain this answer?.
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