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Find the angle between the lines vec r=...

Find the angle between the lines ` vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k)` and the plane ` vec r = dot(2 hat i- hat j+ hat k)=4.`

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Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r.(2 hat i- hat j+ hat k)=4.

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The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambda( hat i- hat j+4 hat k) and plane vec rdot( hat i+5 hat j+ hat k)=5.

Find the angle between the line -> r=(2 hat i+3 hat j+9 hat k)+lambda(2 hat i+3 hat j+4 hat k) and the plane -> r(dot( hat i+ hat j+ hat k))=5.

Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda( hat i+2 hat j+2 hat k) a n d vec r=(5 hat j-2 hat k)+mu(3 hat i+2 hat j+6 hat k)dot

Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(3 hat i+2 hat j+6 hat k) and vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)dot

Find the angle between the lines vec r=(2 hat i-5 hat j+ hat k)+lambda(3 hat i+2 hat j+6 hat k)a n d\ vec r=7 hat i-6 hat k+mu( hat i+2 hat j+2 hat k)dot

Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a n d vec rdot( hat i+ hat j+2 hat k)=5.

Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=(2 hat i- hat j- hat k)+mu(2 hat i+ hat j+2 hat k)

Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane vec r ( hat i- hat j+ hat k)=5.

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
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  2. Find the equation of the plane which passes through the point (1,2,...

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  3. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

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  4. Find the equation of the plane passing through the line (x-1)/(5)=(y+2...

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  5. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

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  6. Find the equation of the plane passing through the straight line (x...

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  7. Find the equation of the line drawn through the point (1, 0,2) to meet...

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  8. If vecr=(hati+2hatj+3hatk)+lambda(hati-hatj+hatk) and vecr=(hati+2hatj...

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  12. Find the angel between the following pair of lines: vec r=2 hat i...

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