1) Write an expression in rectangular components for the vector that extends from (x1, y1,Z1) to (x2, y2,Z2) and determine the magnitude of this vector.

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Answer no. 1
1) Write an expression in rectangular components for the vector that extends from (x1, y1,Z1) to (x2, y2,Z2)
and determine the magnitude of this vector.
2) Find the acute angle between the two vectors Ā = 2 a, + ả, + 3ã, and B = ä, – 3ã, + 2ã, by using
the definition of
a) the dot product
b) the cross product
3) Express the field in cylindrical components and cylindrical variables.
ха, + ya,
D =
x² + y2
4) Express the uniform vector field F = 5 å, in
a) cylindrical components;
b) spherical components.
Transcribed Image Text:1) Write an expression in rectangular components for the vector that extends from (x1, y1,Z1) to (x2, y2,Z2) and determine the magnitude of this vector. 2) Find the acute angle between the two vectors Ā = 2 a, + ả, + 3ã, and B = ä, – 3ã, + 2ã, by using the definition of a) the dot product b) the cross product 3) Express the field in cylindrical components and cylindrical variables. ха, + ya, D = x² + y2 4) Express the uniform vector field F = 5 å, in a) cylindrical components; b) spherical components.
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