Find the angle between the line vecr = (...

Find the angle between the line `vecr = (hati +2hatj -hatk ) +lambda (hati - hatj +hatk)` and `vecr cdot (2hati - hatj +hatk) = 4.`

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Find the angle between the line vecr = (hati+ hatj + hatk) + lambda (2hatl - hatj + hatk), and the plane vecr cdot (3hatl + hatj + hatk) =6 .

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Find the angle between the line vecr=(hati+hatj-2hatk)+lambda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4 .

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Find the angles between the planes vecr(hati-2hatj-2hatk)=1 and vecr(3hati-6hatj+2hatk)=0

Find the angle between the line vecr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4

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Find the angle between the planes. vecr.(hati+hatj+2hatk)=5 and vecr.(2hati-hatj+hatk)=8 .

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Find the shortest distance between the lines vecr = 3 hati + 2hatj - 4 hatk + lamda ( hati +2 hatj +2 hatk ) and vecr = 5 hati - 2hatj + mu ( 3hati + 2hatj + 6 hatk) If the lines intersect find their point of intersection

RS AGGARWAL-THE PLANE-Exercise 28G

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