Recent content by haux

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    Linear Algebra: Distance problems.

    Homework Statement Let P=(5,5,−1), Q=(6,7,2), R=(7,6,0) and S=(7,3,−2). Let l1 be the line passing through P and Q, and let l2 be the line passing through R and S. (i) The distance between R and l1 is _____ (ii) The distance between l1 and l2 is _____Homework Equations projd(v) = [(v •...
  2. H

    Vectors Question (Orthogonality)

    Homework Statement Let u1 = [2 -2 2 ] u2 = [-2 2 1], u3 = [0 1 2]Use the Gram-Schmidt process to u1, u2, u3, in this order. The resulting vectors are: v1 = [___ ___ ___], v2 = [___ ___ ___], v3 = [___ ___ ___] And ß = {v1, v2, v3} is an orthongal basis for R3. Homework Equations v1 =...
  3. H

    Can Vector Cross Product Determine Intersection Point and Angle Between Lines?

    But it says to find the coordinates of P, not the related scalar equations...
  4. H

    Can Vector Cross Product Determine Intersection Point and Angle Between Lines?

    I don't understand what you mean. Each line has separate points and different direction vectors as well. :S
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    Can Vector Cross Product Determine Intersection Point and Angle Between Lines?

    Homework Statement 4. Consider the following two lines: L1: [1 2 1] + s [2 -1 1] , L2 = [3 0 1] + t [1 1 2](by the way, all of those are column vectors. I just don't know how to format them correctly.) (a) These two lines intersect at a point P . Find the co-ordinates of P . (b) What...
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