Let a be a vector of length 2, and b be a vector of length 3. Which of the following statements is the most accurate about the dot product a bas the angle between the two vectors changes? aa-b gets larger as the angle between a and b widens, from a minimum of -6 when the angle is 0. to a maximum of 5 when the angle is - O ba-b gets smaller as the angle between a and b widens, from a maximum of 6 when the angle is 0, to a minimum of - 6 when the angle is a. Oca bisa number between O and 6. It is smallet, with a value of 0, when a and b are at an angle of O or A, and biggest, with a value of 6, when the angle between a and b is T/2 O d.a bis a number between O and 6. It is biggest, with a value of 6, when a and b are at an angle of O or T, and smallest, with a value of 0, when the angle between a and b is a/2. O e. None of the other choices.

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Please solve this multiple choice question correctly and provide correct option as well as neat and clean work
QUESTION 1
Let a be a vector of length 2, and b be a vector of length :
Which of the following statements is the most accurate about the dot product a b. as the angle between the two vectors changes?
O a. a-b gets larger as the angle between a and b widens, from a minimum of -6 when the angle is 0. to a maximum of 6 when the angle is T.
O b.a- b gets smaller as the angle between a and b widens, from a maximum of 6 when the angle is 0, to a minimum of -6 when the angle is T.
Oca.bis a number between O and 6. It is smallest, with a value of 0, when a and b are at an angle of O or A, and biggest, with a value of 6, when the angle between a and b is /2:
O d.a. bis a number between O and 6. It is biggest, with a value of 6, when a and b are at an angle of O or A, and smallest, with a value of 0, when the angle between a and b is /2.
O e. None of the other choices.
QUESTION 3
Transcribed Image Text:QUESTION 1 Let a be a vector of length 2, and b be a vector of length : Which of the following statements is the most accurate about the dot product a b. as the angle between the two vectors changes? O a. a-b gets larger as the angle between a and b widens, from a minimum of -6 when the angle is 0. to a maximum of 6 when the angle is T. O b.a- b gets smaller as the angle between a and b widens, from a maximum of 6 when the angle is 0, to a minimum of -6 when the angle is T. Oca.bis a number between O and 6. It is smallest, with a value of 0, when a and b are at an angle of O or A, and biggest, with a value of 6, when the angle between a and b is /2: O d.a. bis a number between O and 6. It is biggest, with a value of 6, when a and b are at an angle of O or A, and smallest, with a value of 0, when the angle between a and b is /2. O e. None of the other choices. QUESTION 3
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