Adding 2 vectors with degrees

When adding two vectors, the resultant vector is the sum of the individual vectors.

True

False

What is the angle between two vectors if their dot product is zero?

0 degrees

45 degrees

90 degrees

180 degrees

In vector addition, the order in which the vectors are added does not matter.

True

False

What is the magnitude of the resultant vector when adding two vectors of equal magnitude at right angles to each other?

Zero

Half the magnitude of each vector

Equal to the magnitude of each vector

Twice the magnitude of each vector

When adding two vectors, the resultant vector can have a magnitude greater than the sum of the magnitudes of the individual vectors.

True

False

What is the angle between two vectors if their cross product is zero?

0 degrees

45 degrees

90 degrees

180 degrees

What is the resultant vector when adding two vectors with the same magnitude and opposite directions?

Zero vector

Double the magnitude of each vector

Half the magnitude of each vector

Equal to the magnitude of each vector

Which of the following is a unit vector?

2i + 3j

-4i + j

I + j + k

5i - 2j

The vector I + j + k is a unit vector. 12. When adding two vectors, the direction of the resultant vector is determined by the angle between the vectors.

True

False

What is the magnitude of the resultant vector when adding two vectors of equal magnitude in the same direction?

Zero

Half the magnitude of each vector

Equal to the magnitude of each vector

Twice the magnitude of each vector

Which of the following is an example of vector subtraction?

Adding two vectors with opposite directions

Finding the difference between two displacements

Multiplying two vectors

Dividing two vectors

The magnitude of a vector can be negative.

True

False

What is the angle between two vectors if their dot product is positive?

0 degrees

45 degrees

90 degrees

Less than 90 degrees

What is the resultant vector when adding two vectors with the same magnitude and same direction?

Zero vector

Double the magnitude of each vector

Half the magnitude of each vector

Equal to the magnitude of each vector

Which of the following is a unit vector in the x-direction?

I + j

-i + j

-2i

The magnitude of a vector can be zero.

True

False

When adding two vectors, the resultant vector can have a direction opposite to both vectors being added.

True

False

What is the angle between two vectors if their cross product is positive?

0 degrees

45 degrees

90 degrees

180 degrees

Which of the following is not a valid method for multiplying vectors?

Dot product

Cross product

Scalar multiplication

Vector multiplication

What is the magnitude of the resultant vector when adding two vectors of equal magnitude at an angle of 180 degrees to each other?

Zero

Half the magnitude of each vector

Equal to the magnitude of each vector

Twice the magnitude of each vector

Which of the following is a unit vector in the y-direction?

I + j

-i + j

-2j

The magnitude of a vector can be greater than the sum of the magnitudes of the individual vectors being added.

True

False

What is the angle between two vectors if their dot product is negative?

0 degrees

45 degrees

90 degrees

Greater than 90 degrees

What is the resultant vector when adding two vectors with the same magnitude and opposite directions?

Zero vector

Double the magnitude of each vector

Half the magnitude of each vector

Equal to the magnitude of each vector

Which of the following is a unit vector in the z-direction?

I + j

-i + j

-2k

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Adding 2 vectors with degrees

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