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Find the vector equation of the following planes in Cartesian form: ` vec r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot`

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The correct Answer is:
`5x-2y-3z-7=0`
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Find the vector equation of the following planes in Cartesian form: vec r=hat i-hat j+lambda(hat i+hat j+hat k)+mu(hat i-2hat j+3hat k)

Find the vector equation of the following plane in scalar product form vec r=(hat i-hat j)+lambda(hat i+2hat j-hat k)+mu(-hat i+hat j-2hat k)

Find the vector equation of the following plane in scalar product form: hat r=(hat i-hat j)+lambda(hat i+hat j+hat k)+mu(hat i-2hat j+3hat k)

Find the vector equation of the following planes in non parametric form: -> r=(2 hat i+2 hat j- hat k)+lambda( hat i+2 hat j+3 hat k)+mu(5 hat i-2 hat j+7 hat k)dot

Find the vector equation of the following planes in scalar product form ( -> rdot -> n=d): -> r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu(4 hat i-2 hat j+3 hat k)dot

Find the vector equation of the following planes in scalar product form ( vec rdot vec n=d): vec r=(2 hat i- hat k)+lambda hat i+mu( hat i-2 hat j- hat k)dot

Find the vector equation of the following planes in scalar product form ( vec rdot vec n=d): vec r=( hat i+ hat j)+lambda( hat i+2 hat j- hat k)+mu(- hat i+ hat j-2 hat k)

Write the cartesian equation of the following line given in vector form :vec r=2hat i+hat j-4hat k+lambda(hat i-hat j-hat k)

Find the Cartesian form of the equation of the following plane: vec r=( hat i- hat j)+s(- hat i+ hat j+2 hat k)+t( hat i+2 hat j+ hat k)dot

The vector equation of the plane containing the line vec r=(-2 hat i-3 hat j+4 hat k)+lambda(3 hat i-2 hat j- hat k) and the point hat i+2 hat j+3 hat k is a. vec rdot(( hat i+3 hat k)=10 b. vec rdot(( hat i-3 hat k)=10 c. vec rdot((3 hat i+ hat k)=10 d. none of these

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the vector equation of the following planes in Cartesian form:...

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  2. Consider a pyramid OPQRS located in the first octant (xge0, yge0, zge0...

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  3. Let P be the image of the point (3, 1, 7) with respect to the plane x...

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  4. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

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  5. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

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  6. A line l passing through the origin is perpendicular to the lines 1:...

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  7. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

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  9. If the distance between the plane Ax-2y+z=d and the plane containing ...

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  10. Read the following passage and answer the questions. Consider the line...

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  11. Read the following passage and answer the questions. Consider the line...

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  12. Read the following passage and answer the questions. Consider the line...

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  13. Consider three planes P(1):x-y+z=1 P(2):x+y-z=-1 and " "P...

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  14. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

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  15. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  16. The distance of the point (1, 3, -7) from the plane passing through th...

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  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

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  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  19. The disatance of the point (1, 0, 2) from the point of intersection of...

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  20. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  21. The angle between the lines whose direction cosines satisfy the equ...

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