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बिंदु (1,2,-4) से जाने वाली और दोनों ...

बिंदु `(1,2,-4)` से जाने वाली और दोनों रेखाओ `(x-8)/(3)=(y+19)/(-16)=(z-10)/(7) ` और`(x-15)/(3)=(y-29)/(8)=(z-5)/(-5)`पर लंब रेखा का सदिश समीकरण ज्ञात कीजिए l

A

`(x-2)/22 = (y+1)/10 =(z-0)/14`

B

`(x-2)/(-22) = (y-1)/(-10) =(z-0)/(-14)`

C

`(x+2)/22 = (y+1)/10 =(z-0)/14`

D

`(x-2)/(-22) = (y+1)/(-10) =(z-0)/(-14)`

Text Solution

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The correct Answer is:
B
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Find the vector equation of the line passing through the point (1,2,-4) and perpendicular to the two lines: (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

Find the vector equation of line passing through the point (1,2,-4) and perpendicular to the two lines: (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

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Find the Vector and Cartesian equations of the line passing through the point (1,2,4) and perpendicular to the two lines (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

(i) Find the vector and cartesian equation of the line passing through the point (1,2,-4) and perpendicular to the two lines : (x - 8)/(3) = (y + 19)/(-16) = (z - 10)/(7) and (x - 15)/(3) = (y - 19)/(8) = (z - 5)/(-5) . (ii) Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicular to the lines : (x -1)/(1) = (y -2)/(2) = (z - 3)/(3) and (x)/(-3) = (y)/(2) = (z)/(5) .

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
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  5. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

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