Determine the curvature of 7(t) = (t,t“, t°) V36t4 + 9t² + 4 K А. (9t4 + 4t2 + 1) V36t4 + 36t2 +4 В. K = (9t4 + 4t² + 1)* С. V36t4 + 9t² +1 K : (9t4 + 4t2 + 1) ž D. K = V36t4 + 36t2 +1 (t4 + 4t² + 1)* Е. none of the above

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: (6) Let -1 3 1 y = 2 and uj = -1 u2 -1 -2 Find the closest point to y in span{u1,u2}. What is the…

A:

Q: Find the distance between the skew lines with parametric equations x = 1 + t, y = 2 + 6t, z = 2t,…

A: The distance from a point P(x1,y1,z1) to a plane  is

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A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

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Q: .Calculate the dstance between tve point (3, -2) and the plane Z Xty-2+1=0.

A: The distance between the point (a, b, c) and the plane Ax+By+Cz+D=0 is given by,

Q: By vector methods show that the line x = y = (1/3)(z + 2) is parallel to the plane 2x - 8y +2z = 5..

A: Any arbitrary point P0 on the line can be determined to be as:

Q: Suppose the solution set of x1 + x2+2x4 What are the equations of the plane at (1,2,3,4) which is…

A: First we find direction vectors of the plane of solutions.

Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

A:

Q: P5/ Find the Plo,2,-1) and normal to n=3i-2 -k squation tor the plane though

A: Use formula for equation of plane

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A:

Q: Vectors a' and b are perpendicular to one another. Find k : a'(k², –k, 1), b´ (k, 3, – 2)

A: Scalar product of two vectors

Q: What is the distance from the point (1,9,3) to the xz-plane?

A:

Q: O O O Find the distance between the two points * (8, 5), (5, 0) 4) V194 В) 12 ) 2v2 D) V34 О в O c D

A: