Quiz

Vectors Quiz

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Questions in this quiz (5)

1Find the sum of the given vectors:
<-1,4>, <6,-2> = [blank_start]<5,2>[blank_end]
1. A<5,2>
2Find a + b, 2a + 3b, |a|, and |a-b|.
a=<5,-12>, b=<-3,-6>
Ans:
a+b = [blank_start]<2,-18>[blank_end]
2a+3b = [blank_start]<1,-42>[blank_end]
|a| = [blank_start]13[blank_end]
|a-b| = [blank_start]10[blank_end]
1. A<2,-18>
2. B<1,-42>
3. C13
4. D10
3Find a unit vector that has the same direction as the given vector.
-3i + 7j is equal to the unit vector -3/sqrt(58) i + 7/sqrt(58) j.
1. ATrue
2. BFalse
4Find a unit vector that has the same direction as the vector given.
8i - j + 4k
1. A9i - 9j + 9k
2. B1/9i -1/9j + 1/9k
3. C8/9i -1/9j + 4/9k
4. D8i - j + 4k
5What is the angle between the vector and the positive direction of the x-axis?
i + sqrt(3)j = [blank_start]60[blank_end] degrees
1. A60