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已知点\(O(0{\rm{ }},{\rm{ }}0){\rm{ }},{\rm{ }}A(1{\rm{ }},{\rm{ }}2){\rm{ }},{\rm{ }}B(4{\rm{ }},{\rm{ }}5){\rm{ }},\) \(\overrightarrow {OP} = \overrightarrow {OA} + t\overrightarrow {OB} \),试问:
当\(t\)为何值时,点\(P\)在\(x\)轴上?点\(P\)在\(y\)轴上?点\(P\)在第二象限?
参考答案:\(t = - \frac{2}{5}\)\(t = - \frac{1}{4}\)\( - \frac{2}{5} < t < - \frac{1}{4}\)
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