Q:1 a)Take any two vectors A and B in three dimensional Cartesian coordinate system of your choice and prove the following statements: Dot product of vectors A and B is a scalar quantity Cross product of vectors A and B is a vector quantity Note: Choose same vectors for both statements. b) A ball is kicked at an angle of 35° with the ground. What should be the initial velocity of the ball so that it hits a target that is 30 meters away at a height of 1.8 meter? What is the time for the ball to reach the target?

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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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Q:1 a)Take any two vectors A and B in three dimensional Cartesian
coordinate system of your choice and prove the following statements:
Dot product of vectors A and B is a scalar quantity Cross product of
vectors A and B is a vector quantity Note: Choose same vectors for both
statements. b) A ball is kicked at an angle of 35° with the ground. What
should be the initial velocity of the ball so that it hits a target that is 30
meters away at a height of 1.8 meter? What is the time for the ball to
reach the target?
Transcribed Image Text:Q:1 a)Take any two vectors A and B in three dimensional Cartesian coordinate system of your choice and prove the following statements: Dot product of vectors A and B is a scalar quantity Cross product of vectors A and B is a vector quantity Note: Choose same vectors for both statements. b) A ball is kicked at an angle of 35° with the ground. What should be the initial velocity of the ball so that it hits a target that is 30 meters away at a height of 1.8 meter? What is the time for the ball to reach the target?
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