Vector u has its initial point at (15, 22) and its terminal point at (5, -4). Vector v points in a direction opposite that of u, and its magnitude is twice the magnitude of u. What is the component form of v?

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01-05-2018
Mathematics

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Vector u has its initial point at (15, 22) and its terminal point at (5, -4). Vector v points in a direction opposite that of u, and its magnitude is twice the magnitude of u. What is the component form of v?

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Blitztiger Blitztiger · Answer 1 · 2018-05-02T04:04:40+02:00

Blitztiger Blitztiger

02-05-2018

Vector u has u_x = (5 - 15) = -10, and u_y = -4 - 22 = -26, and its component form would be u = -10i - 26j.
If vector v is in the opposite direction: 10i + 26j
And if it is double in magnitude: v = 20i + 52j

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