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A roof truss has two bars that meet at a joint. Bar one… | StemPy Lab

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A roof truss has two bars that meet at a joint. Bar one has direction ratios (k, -2, 1) and bar two has direction ratios (3, 4, 5k). The engineer must make the bars perpendicular so that the joint carries the load without twisting. Which value of k does this?

MathematicsMediumHigh School (11–12)Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry A-Level IB AEEE (Amrita)AMUEEE AP EAPCET BCECE

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A roof truss has two bars that meet at a joint. Bar one has direction ratios $(k, -2, 1)$ and bar two has direction ratios $(3, 4, 5k)$ . The engineer must make the bars perpendicular so that the joint carries the load without twisting. Which value of $k$ does this?

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← A bridge designer compares two struts. One is parallel to the vector 2î + ĵ - 2k̂ and the other is parallel to 6î + 3ĵ + 2k̂. The designer needs the cosine of the acute angle θ between the two struts. What is it?A student says: the line through the origin and the point (2, 2, 1) has direction cosines 2, 2 and 1. Her teacher says this is wrong. What is the mistake? →

More onVectors and Three-Dimensional Geometry › Three-Dimensional Geometry

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