Answer to Question #304979 in Physics for Hsjnsjns

Question #304979

D= 7i + 9j - 4k




E= 8i + 9j + 5k





Calculate D × E




Find the angle between d and e




Show that D × E is perpendicular to both D and E

1
Expert's answer
2022-03-02T10:24:52-0500
"{\\bf D}\\times {\\bf E}=( 7i + 9j - 4k)\\times (8i + 9j + 5k)\\\\\n=63k-35j-72k+35i-32j+36i\\\\\n=71i-67j-9k"

"\\theta=\\sin^{-1}\\frac{\\sqrt{71^2+67^2+9^2}}{\\sqrt{6^2+9^2+4^2}\\sqrt{8^2+9^2+5^2}}"

"\\theta=41^\\circ"


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