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Two vectors $\vec{a}$ and $\vec{b}$ have equal magnitudes of 12 units. These vectors are making angles 30^o and 120^o with the x axis respectively. Their sum is $\vec{r}$ . Find the x and y components of $\vec{r}$ .

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detailed solution

Correct option is A

Here a = b =12 unitsX-component = a cos300 – b cos600Y-component = a sin300 + bsin 600

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Two vectors a→ and b→ have equal magnitudes of 12 units. These vectors are making angles 30o and 120o with the x axis respectively. Their sum is r→. Find the x and y components of r→.

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Ready to Test Your Skills?

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Two vectors $\vec{a}$ and $\vec{b}$ have equal magnitudes of 12 units. These vectors are making angles 30^o and 120^o with the x axis respectively. Their sum is $\vec{r}$ . Find the x and y components of $\vec{r}$ .