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Ch 12: Rotation of a Rigid Body

Chapter 12, Problem 12

Evaluate the cross products and A ✕ B and C ✕ D.

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Video transcript

Hi, everyone in this practice problem, we're being asked to find the cross product E cross F of the given factor shown in the figure where in the figure we have factor E which is three separated with factor F, which is four with a 30 degree angle between them. The options are 18, 12, 6 and 24. And when two factors are multiplied, and the result is a factor, it is going to be known as cross product. So cross product is essentially E cross F and can be calculated by multiplying E with F multiplied by the sign of the angle between them or sine theta. In this case, we have E equals to three F equals to four and the theta equals to 30 degrees. Therefore, E cross F will then be E times F times sine data, which will then be three times four time sign of 30°. That will give us an E cross F value of six. So six is going to be the answer to this practice problem which will equals to or correspond to option C. So option C is going to be the answer to this particular practice problem. And if you guys still have any sort of confusion, please make sure to check out our other lesson videos on similar topics and they'll be all for this one. Thank you.