Let u → , v → and w → are vectors such that u → + v → + w → = 0 → . If u → = 3 , v → = 4 and w → = 5 , then the value of u → . v → + v → . w → + w → . u → is

Question

Let u → , v → and w → are vectors such that u → + v → + w → = 0 → . If u → = 3 , v → = 4 and w → = 5 , then the value of u → . v → + v → . w → + w → . u → is, - 25, - 27, 28, 25

MARKS App · Accepted Answer

Given, u → + v → + w → = 0 → If u → = 3 ; v → = 4 and w → = 5 now u → + v → + w → 2 = 0 ⇒ u → 2 + v → 2 + w → 2 + 2 u → . v → + v → . w → + w → . u → = 0 ∴ 9 + 16 + 25 + 2 u → . v → + v → . w → + w → . u → = 0 ∴ u → . v → + v → . w → + w → . u → = -25

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