If veca = 3hati - 2hatj + hatk and vecb = 2hati - 4hatj - 3hatk then the value of |veca - 2vecb| will be ______.

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If veca = 3hati - 2hatj + hatk and vecb = 2hati - 4hatj - 3hatk then the value of |veca - 2vecb| will be underlinebb(sqrt(86)). Explanation: Given, veca = 3hati - 2hatj + hatk vecb = 2hati - 4hatj - 3hatk Then, `(veca - 2vecb) = [(3hati - 2hatj + hatk) - 2(2hati - 4hatj - 3hatk)] = [3hati - 2hati + hatk - 4hati + 8hati + 6hati] = (-hati + 6hatj + 7hatk) |veca - 2vecb| = sqrt((-1)^2 + (6)^2 + (7)^2) = sqrt(1 + 36 + 49) = sqrt(86)`

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