In a three-dimensional space we have a vector R ( 4ai + 3af + 5ak ). Another vector S has the same Y component as vector R, but a quarter more of its X component and lies in the XY plane. Finally, a vector T has the same X-component as vector R, but a component and equal to Ty--a, and it is also in the XY plane. Find: a) The angle between the vectors R and T. And a vector perpendicular to the plane formed by the vectors R and S. b) The angle between the result of the three vectors and the Z axis. And a Tinal del docume vector that cancels the result of the vectors S and T c) Name at least two ways you could find the angle between the vectors S and T. Clearly justify your reasoning.

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Chapter2: Vectors
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Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...
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Physics problem about vectors

In a three-dimensional space we have a vector R =( 4aî + 3af + 5ak ).
Another vector S has the same Y component as vector R , but a quarter
T has
more of its X component and lies in the XY plane. Finally, a vector
the same X-component as vector R, but a component and equal to Ty=-a,
and it is also in the XY plane. Find:
a) The angle between the vectors R and T. And a vector perpendicular to
the plane formed by the vectors R and S.
O b) The angle between the result of the three vectors and the Z axis. And a
Final del documento
vector that cancels the result of the vectors S and T
c) Name at least two ways you could find the angle between the vectors S
and T. Clearly justify your reasoning.
Transcribed Image Text:In a three-dimensional space we have a vector R =( 4aî + 3af + 5ak ). Another vector S has the same Y component as vector R , but a quarter T has more of its X component and lies in the XY plane. Finally, a vector the same X-component as vector R, but a component and equal to Ty=-a, and it is also in the XY plane. Find: a) The angle between the vectors R and T. And a vector perpendicular to the plane formed by the vectors R and S. O b) The angle between the result of the three vectors and the Z axis. And a Final del documento vector that cancels the result of the vectors S and T c) Name at least two ways you could find the angle between the vectors S and T. Clearly justify your reasoning.
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