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s3w3 review for test

Last updated 3 months ago
22 questions
1

What is the result of adding two vectors with the same magnitude and opposite directions?

1

If two vectors are orthogonal, what can be said about their dot product? a) It is zero b) It is positive c) It is negative d) It is undefined

1

If the magnitude of a vector is doubled, how does it affect its components in rectangular coordinates?

1

When multiplying a vector by a positive scalar, what happens to its direction?

1

When multiplying a vector by a negative scalar, what happens to its direction?

1

Which of the following represents the projection of vector \vec{v} onto vector \vec{w}?

1

How are \vec{m} and \hat{m} similar and how are they different?

1

What is the equation that tells you the magnitude of vector a\hat{i}+b\hat{j}

1

the magnitude you gave the equation for above is a

1

If the dot product of two vectors is zero, what can be concluded about the angle between them?

1

In polar coordinates, what does the angle θ represent?

1

How would the polar coordinates (r,θ) change if the point is reflected across the x-axis?

1

If a point is given in Cartesian coordinates as (x,y), what are its polar coordinates?

1

If a point is in polar coordinates (r,θ), how does doubling r affect the location of the point?

1

If
and
, what is the product
in polar form?

1

What is the magnitude of the complex number z=3−4i given in Cartesian form?

1

What is the polar equation for a circle centered at the origin with radius r=a?

1

What would be the polar representation of the Cartesian point (2, 2)?

1

Which quadrant would the point (r=3, \theta = \frac{3\pi}{4}) be located in the polar coordinates system?

1

If a point moves from
what path does it trace in the plane?

1

3cis\theta is the same as

1

is the same as