Let a be a vector of length 2, and 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? Oaa-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- Oba-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-bisa 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 1/2- Oda- bisa number between O and 6. It is biggest, with a value of 6, when a and b are at an angle of O or , and smallest, with a value of 0, when the angle between a and b is A/2. Oe None of the other choices.

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Need to be solve all Three multiple choice questions correctly please show your work and solve all three
QUESTION 1
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 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 , and biggest, with a value of 6, when the angle between a and b is 1/2:
O d.a bi
sa 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.
QUESTION 2
What is the most accurate geometric description of proina?
O a. The length of the portion of the vector b that points in the direction of a
O b. The length of the portion of the vector a that points in the direction of b.
OC The vector "shadow of b along a.
Od.The vector "shadow" of a along b.
QUESTION 3
Suppose that the origin is on a piece of paper.
which direction does it point?
is a vector going from the origin to the right, and b is a vector starting from the origin and pointing straight out of the page towards you. Ifbx a starts at the origin, in
O a. Left.
O b.Down.
Oc Up.
Od Iinto the page (away from you).
bxa=0
Transcribed Image Text:QUESTION 1 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 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 , and biggest, with a value of 6, when the angle between a and b is 1/2: O d.a bi sa 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. QUESTION 2 What is the most accurate geometric description of proina? O a. The length of the portion of the vector b that points in the direction of a O b. The length of the portion of the vector a that points in the direction of b. OC The vector "shadow of b along a. Od.The vector "shadow" of a along b. QUESTION 3 Suppose that the origin is on a piece of paper. which direction does it point? is a vector going from the origin to the right, and b is a vector starting from the origin and pointing straight out of the page towards you. Ifbx a starts at the origin, in O a. Left. O b.Down. Oc Up. Od Iinto the page (away from you). bxa=0
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