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Find the angle between the following pai...

Find the angle between the following pairs of lines.`(x)/2=(y)/2=(z)/1 ` and `(x-5)/4=(y-2)/1=(z-3)/8`

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The correct Answer is:
Here, a_1, b_1, c_1 are 2, 2, 1 and a_2, b_2, c_2 are 4, 1, 8 respectively
`therefore costheta = (8+2+8)/(sqrt(4+4+1)sqrt(16+1+64)) = (18)/(3xx9) = 2/3 rArr theta = cos^(-) (2/3)`
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A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
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  8. Consider the plane passing through (2, 3, 5) and perpendiular to the v...

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  9. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

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  10. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

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  11. Find the eqauation of the plane through the points (2, 1, -1) and (-1,...

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  12. Consider the points A(2, 2, 1) and B(9, 3, 6) and the plane 2x+6y+6z-1...

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  14. Suppose that a plane meets the co-ordinate axes at A, B, C such that t...

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  15. Find the vector equation of the plane passing through the intersection...

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  16. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

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  17. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

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  18. Consider the line (x-1)/2 = (y-2)/-3=(z+5)/4 and the plane 2x+4y-z=3. ...

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  19. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

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