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2020 WAEC Further Mathematics Theory Given that w = 8i + 3j, x = 6i - 5j, y = 2i...

Further Mathematics
WAEC 2020

Given that w = 8i + 3j, x = 6i - 5j, y = 2i + 3j and |z| = 41. find z in the direction of w + x - 2y.

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Explanation

W = 8i + 3J

X = 6i - 5J 

Y = 2i + 3J

w + x - 2y = 8i + 3j + 6i - 5j - 2(2i + 3j)

= 10i - 8j

Z = \(\frac{10i - 8j}{|Z|}\)

= \(\frac{10i - 8j}{4}\)

= \(\frac{10i}{4}\)

\(\frac{8j}{4}\)

= \(\frac{5}{2}\)i - 2j


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