4. Right handed coordinate system: In a three dimensional coordinate system we can always choose +x and +y to be inany direction we want as long as they are perpendicular. For a right handed coordinate system we always choosethe +2 direction so that i xj is in the +2 direction.Use the right-hand rule to determine the following vector products.ixiixjîxk&jxikxijxjkxj0-1jxkkxk+y+X5. Assume we have two vectors Ā= A¸Î + A‚Ĵ + Ak and B = B¸î + B,Ĵ + B. We can use the rules for the crossproducts of the unit vector write the cross product AxB in terms of its' components asAx B= (A,B₂ - A,B,) i — (A_B_ — A‚B‚)Ĵ + (A_B‚ — A,B.) kExample: A force = (20 - 2j+5k) N is drone at vector F = (21 +3)) m measured from the center of mass ofthe drone. In flight, the center of mass is the axis of rotation. Determine the torque exerted by this force. Expressyour answer using unit vectorsStarting steps: 7=7 x = (2î +3ĵ) m× (20î − 2j+5k) N

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Right handed coordinate system: In a three dimensional coordinate system we can always choose +x and +y to be in any direction we want as long as they are perpendicular. For a cight handed coordinate system we always choose the +z direction so that ixj is in the +2 direction. Use the right-hand rule to determine the following vector products. Ixi IxJ ixk & JXI kxi Jx) kxj 0 -1 jxk kxk 5. Assume we have two vectors = Â¸Î + A‚j + Â¸Â and B=B,i + B,j+Bk. We can use the rules for the cross products of the unit vector write the cross product in terms of its' components as Ax B=(A,B,A,B,) i — (A‚ B‚ — Â‚Â‚)Ĵ + (Â‚Â‚ — A,B,) k Example: A force = (201-2j+5k) N is drone at vector F = (2+3)) m measured from the center of mass of the drone. In flight, the center of mass is the axis of rotation. Determine the torque exerted by this force. Express your answer using unit vectors Starting steps: 7=7 x = (2i +3j) mx (20i - 2j+5k) N

Right handed coordinate system: In a three dimensional coordinate system we can always choose +x and +y to be in any direction we want as long as they are perpendicular. For a cight handed coordinate system we always choose the +z direction so that ixj is in the +2 direction. Use the right-hand rule to determine the following vector products. Ixi IxJ ixk & JXI kxi Jx) kxj 0 -1 jxk kxk 5. Assume we have two vectors = Â¸Î + A‚j + Â¸Â and B=B,i + B,j+Bk. We can use the rules for the cross products of the unit vector write the cross product in terms of its' components as Ax B=(A,B,A,B,) i — (A‚ B‚ — Â‚Â‚)Ĵ + (Â‚Â‚ — A,B,) k Example: A force = (201-2j+5k) N is drone at vector F = (2+3)) m measured from the center of mass of the drone. In flight, the center of mass is the axis of rotation. Determine the torque exerted by this force. Express your answer using unit vectors Starting steps: 7=7 x = (2i +3j) mx (20i - 2j+5k) N

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

4. Right handed coordinate system: In a three dimensional coordinate system we can always choose +x and +y to be in
any direction we want as long as they are perpendicular. For a right handed coordinate system we always choose
the +2 direction so that i xj is in the +2 direction.
Use the right-hand rule to determine the following vector products.
ixi
ixj
îxk
&
jxi
kxi
jxj
kxj
0
-1
jxk
kxk
+y
+X
5. Assume we have two vectors Ā= A¸Î + A‚Ĵ + Ak and B = B¸î + B,Ĵ + B. We can use the rules for the cross
products of the unit vector write the cross product AxB in terms of its' components as
Ax B= (A,B₂ - A,B,) i — (A_B_ — A‚B‚)Ĵ + (A_B‚ — A,B.) k
Example: A force = (20 - 2j+5k) N is drone at vector F = (21 +3)) m measured from the center of mass of
the drone. In flight, the center of mass is the axis of rotation. Determine the torque exerted by this force. Express
your answer using unit vectors
Starting steps: 7=7 x = (2î +3ĵ) m× (20î − 2j+5k) N

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