Practice dot product
February 7, 2021
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Question 1 of 12
1. Question
 Find the dot product of two vectors if their lengths are 6 and 1/3 and the angle between them is pi/4. Round your answer to two decimal points.
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Question 2 of 12
2. Question
Find vector dot product if a = <2, 1/3> and b = <5, 12>.
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Question 3 of 12
3. Question
Find vector dot product if a = <4, 1, 1/4> and b = <6, 3, 8>.
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Question 4 of 12
4. Question
Find vector dot product if a = i – 2j + 3k and b = 5i + 9k.
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Question 5 of 12
5. Question
Find vector dot product if a = 6 and b = 5, the angle between a and b is (2pi)/3.
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Question 6 of 12
6. Question
Find the angle between the vectors:
Round your answer to one decimal place.
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Question 7 of 12
7. Question
Find the angle between two vectors:
a = <3, 1, 5> and b = <2, 4, 3>
Round your answer to the whole number.
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Question 8 of 12
8. Question
Find the angle between two vectors:
a = j + k and b = i + 2j – 3k
Round your answer to the whole number.
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Question 9 of 12
9. Question
Determine whether the given vectors are orthogonal (type yes if they are orthogonal and type no if the vectors are not orthogonal):
a = <4, 6> and b = <3, 2>.
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Question 10 of 12
10. Question
A sled is pulled along a level path through snow by a rope. A 30lb force acting at an angle of 40 degrees above the horizontal moves the sled 80 ft. Find the work done by the force. Round your answer to the whole number, do not include units in the answer.
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Question 11 of 12
11. Question
A street vendor sells a hamburgers, b hot dogs, and c soft drinks. He charges $2 for a hamburger, $1.50 for a hot dog, and $1 for a soft drink. If a = <a, b, c> and b = <2, 1.5, 1>, what is the meaning of their dot product?
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Question 12 of 12
12. Question
Use vectors to decide whether the triangle with vertices P(1, 3, 2), Q(2, 0, 4) and R(6, 2, 5) is rightangled. Type yes if the triangle is rightangled and no if it is not.
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