The dot product a⋅b𝑎⋅𝑏 is zero when (choose one or more)Question 2Select one or more:a.a𝑎 is zerob.a𝑎 and b𝑏 are perpendicularc.b𝑏 is zerod.none of the otherse.a𝑎 and b𝑏 are parallel
Question
The dot product a⋅b𝑎⋅𝑏 is zero when (choose one or more)Question 2Select one or more:a.a𝑎 is zerob.a𝑎 and b𝑏 are perpendicularc.b𝑏 is zerod.none of the otherse.a𝑎 and b𝑏 are parallel
Solution
The dot product a⋅b is zero when:
b. a and b are perpendicular c. b is zero a. a is zero
The dot product of two vectors is zero if they are perpendicular to each other, or if either of the vectors is a zero vector. It is not zero when the vectors are parallel; in fact, the dot product is maximum when the vectors are parallel.
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