How to subtract two vectors with a scalars

The video tutorial explains vector operations, including addition, scalar multiplication, and finding resultant vectors. It covers rewriting vectors in terms of addition, distributing components, and graphing vectors. The tutorial also demonstrates the tail to end method for finding resultant vectors and discusses the reflection of vectors when multiplied by a negative scalar.

What is the initial task given in the video regarding vectors T and W?

• Find the sum of the vectors.

• Find the difference of the vectors.

• Find the product of the vectors.

• Find the quotient of the vectors.

How is the subtraction of vectors rewritten in the video?

• As an addition operation.

• As a multiplication operation.

• As a subtraction operation.

• As a division operation.

What is the resultant vector obtained after adding the components?

• (-10, -5)

• (-9, -3)

• (10, 5)

• (9, 3)

What effect does multiplying a vector by a negative scalar have?

• It translates the vector upwards.

• It scales the vector by half.

• It rotates the vector 90 degrees.

• It reflects the vector about the origin.

What is the result of multiplying vector W by 3?

• It becomes (9, 3).

• It becomes (-3, -1).

• It becomes (-9, -3).

• It becomes (3, 1).

What method is introduced to find the resultant vector without addition?

• Head-to-tail method

• Tail-to-end method

• Cross-product method

• Dot-product method

What is the final resultant vector after using the tail-to-end method?

• (-10, -5)

• (10, -5)

• (-10, 5)

• (0, 0)