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Category: Vector

Find-the-curvature-vector-and-its-magnitude-at-any-point-r-of-the-curve-r-acos-asin-a-Show-the-locus-of-the-feet-of-the-from-the-origin-to-the-tangent-is-a-curve-that-complete

Question Number 98325 by bemath last updated on 13/Jun/20 Findthecurvaturevectoranditsmagnitudeatanypointr=(θ)ofthecurver=(acosθ,asinθ,aθ).Showthelocusofthefeetofthefromtheorigintothetangentisacurvethatcompletelylies$$\mathrm{on}\:\mathrm{the}\:\mathrm{hyperbolic}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}}…

A-iniform-rod-of-length-2a-and-weight-W-is-smoothly-pivoted-to-a-fixed-point-at-A-A-load-of-weight-2W-is-attached-to-the-end-B-The-rod-is-kept-horizontally-by-a-string-attached-to-the-midpoint-D-of-

Question Number 32713 by byaw last updated on 31/Mar/18 Ainiformrodoflength2aandweightWissmoothlypivotedtoafixedpointatA.Aloadofweight2WisattachedtotheendB.TherodiskepthorizontallybyastringattachedtothemidpointDoftherodandtoapointCverticallyaboveA.$$\mathrm{If}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{string}\:\mathrm{is}\:\mathrm{2}{a},\:\mathrm{find}, \

the-vector-equations-of-two-lines-l-1-and-l-2-are-given-by-l-1-r-5i-j-k-3i-2j-l-2-r-2i-3j-2k-2j-k-find-thd-position-vdctor-of-intersection-of-thf-linds-l-1-and-l-2-thd-cartesian-equatkon

Question Number 98018 by hardylanes last updated on 11/Jun/20 thevectorequationsoftwolinesl1andl2aregivenbyl1:r=5ij+k+λ(3i+2j)l2:r=2i+3j+2k+μ(2j+k)find$${thd}\:{position}\:{vdctor}\:{of}\:{intersection}\:{of}\:{thf}\:{linds}\:{l}_{\mathrm{1}} \:{and}\:{l}_{\mathrm{2}} \: \