Question

A is in positive Y direction and its magnitude is 100 unit. B is in the direction making an angle of 60° (in upward direction) with positive X -axis and its magnitude is 200 unit. C is in positive X direction and its magnitude is 150 unit. Out of these vectors which one has the maximum value for its (i) x component (ii) y component?

Answer 1

Answer:

Max value for x component = 150  is for C

Max value for y component =  100√3 is for B

Explanation:

A is in positive Y direction and its magnitude is 100 unit.

A's x component = 0

A's y component = 100

B is in the direction making an angle of 60° (in upward direction) with positive X -axis and its magnitude is 200 unit

B's x component = 200Cos60° = 200 * 1/2 = 100

B's y component = 200Sin60° = 200 * √3/2 = 100√3

C is in positive X direction and its magnitude is 150 unit.

C's x component = 150

C's y component = 0

Max value for x component = 150  is for C

Max value for y component =  100√3 is for B

Answer 2

Explanation:

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