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Find the angle between x-axis and the ve...

Find the angle between x-axis and the vector ` hat i+ hat j+ hat k`

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The correct Answer is:
`theta = cos^(-1)((1)/(sqrt(3)))`
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Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

Find the sine of the angle between the vectors hat(i) + 2 hat(j) + 2 hat(k) and 3 hat(i) + 2 hat(j) + 6 hat(k)

Find the angle between the planes whose vector equation are r.(2hat(i)+2hat(j)-3hat(k))=5, r.(3hat(i)-3hat(j)+5hat(k))=3 .

Find angle between the vectors overset(to)(a) = hat(i) + hat(j) - hat(k) and overset(to)(b) = hat(i) + hat(j) + hat(k)

Write the value of cosine of the angle which the vector vec(a) = hat(i) + hat(j) + hat(k) makes with y-axis.

Find the angle between the pair of lines vec(r)=3hat(i)+5hat(j)-hat(k)+lambda(hat(i)+hat(j)+hat(k))" and "vec(r)=7hat(i)+4hat(k)+mu(2hat(i)+2hat(j)+2hat(k))

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .

Find the magnitude of the vector vec(a) = 3hat(i) +2hat(j) + 6hat(k) .

OSWAAL PUBLICATION-THREE DIMENSIONAL GEOMETRY-Topic - 3 (Long answer type questions - II)
  1. Find the angle between x-axis and the vector hat i+ hat j+ hat k

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  2. Derive the equation of a plane in normal form both in the vector and C...

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  3. Derive the condition for the coplanarity two lines in space both in t...

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  4. Find the vector and Cartesian forms of the equation of the plane pa...

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  5. Find the equation of the plane passing through the line of intersecti...

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  6. Find the distance between the point (7,2,4) and the plane determined b...

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  7. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  8. Find the equation of the plane through the line of intersection of the...

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  9. Find the distance of the point (2,12,5) from the point of intersectio...

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  10. Find the equation of the plane that contains the point A(1,-1,2) and ...

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  11. Show that the lines (x+3)/(-3) = (y-1)/1 = (z-5)/5 and (x+1)/ (-1) = (...

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  12. Find the coordinates of the point where the line through (3,-4,-5) and...

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  13. Find the equation of the plane through the line of intersection of the...

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  14. Find the vector equation of the plane passing through three points ...

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  15. Find the equation of the plane determined by the points (A(3,-1,\ 2...

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  16. Find the vector equation of the line passing through the point (1,2...

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  17. Equation of the plane that contains the lines r=(hat(i)+hat(j))+lambd...

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  18. If the lines (x-1)/(-3)=(y-2)/(-2y)=(z-3)/2 and (x-1)/k=(y-2)/1-(z-3)...

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  19. Find the vector and cartesian equations of a plane containing the two ...

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  20. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  21. Find the equation of the plane passing through the line of intersectio...

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