Question

In: Physics

If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component.

Which of the following statements is a true statement?


If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component.

A vector's magnitude cannot be more than the magnitude of one of its components.

A vector can have positive or negative magnitudes.

The magnitude of a vector cannot be zero unless all of its components are zero.

A vector's magnitude cannot be less than the sum of the magnitude of its components.

Solutions

Expert Solution

A = xi + yj + zk

magnitude of A , |A| = sqrt(x^2 + y^2 + z^2 )

1)

false statement

If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component.

2)

false statement

A vector's magnitude cannot be more than the magnitude of one of its components.

3)

false statement
  
A vector can have positive or negative magnitudes.

the magnitude of any vector is always positive

4)

The magnitude of a vector cannot be zero unless all of its components are zero.

this is true

5)

A vector's magnitude cannot be less than the sum of the magnitude of its components.

this is a true statement

genius_generous answered 2 years ago
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