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The vector aa¯ is directed due north and |a| = 24. The vector bb¯ is directed due west and b|b¯|=7. Find ab|a¯ b¯|. - Mathematics and Statistics | Shaalaa.com
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SOLVED:Direction angles and direction cosines The direction angles α, β, and γof a vector 𝐯=a 𝐢 b 𝐣 c 𝐤 are defined as follows: α is the angle between v and the positive x -axis (0 ≤α≤π) β is the angle between v and the positive y -axis (0 ≤β≤π) γ is the angle between v and the positive z -axis (0 ≤γ≤π) a. Show that cosα=(a)/(|𝐯|), cosβ=(b)/(|𝐯|), cosγ=(c)/(|𝐯|) and cos ^2α cos ^2β cos ^2γ=1 . These cosines are called the direction cosin
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