Question

what must be the component of a vector which added the following vectors 10i-7j and 4i + 2j gives rise to a vector 7j?

Answer 1

Answer on Question #62726-Physics-Mechanics-Relativity

What must be the component of a vector which added the following vectors 10i-7j and 4i + 2j gives rise to a vector 7j?

Solution

1.

$$10i - 7j + xi + yj = 7j$$ $$10 + x = 0 \rightarrow x = -10$$ $$-7 + y = 7 \rightarrow 14$$

**Answer:** $-10i + 14j$.

2.

$$4i + 2j + xi + yj = 7j$$ $$4 + x = 0 \rightarrow x = -4$$ $$2 + y = 7 \rightarrow 5$$

**Answer:** $-4i + 5j$.

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