Pregunta 1
Pregunta
Find the sum of the given vectors:
<-1,4>, <6,-2> = [blank_start]<5,2>[blank_end]
Pregunta 2
Pregunta
Find 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]
Pregunta 3
Pregunta
Find 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.
Pregunta 4
Pregunta
Find a unit vector that has the same direction as the vector given.
8i - j + 4k
Respuesta
-
9i - 9j + 9k
-
1/9i -1/9j + 1/9k
-
8/9i -1/9j + 4/9k
-
8i - j + 4k
Pregunta 5
Pregunta
What is the angle between the vector and the positive direction of the x-axis?
i + sqrt(3)j = [blank_start]60[blank_end] degrees