- #1
brinlin
- 12
- 0
MHB Find Vector of Given Length in Particular Direction
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To find a vector of a specific length in the opposite direction of w = ai + bj, the vector can be expressed as a scalar multiple of -ai - bj. The required length of the new vector is 6, which means the scalar must be calculated as 6 divided by the length of w. This ensures that the resulting vector maintains the desired magnitude while pointing in the opposite direction. The discussion emphasizes the relationship between vector direction, magnitude, and scalar multiplication. Understanding these concepts is crucial for accurately determining vectors in specified orientations.
- #2
HOI
- 921
- 2
Any vector "in the opposite direction as w= ai+ bj" is a number times -ai- bj. In order that the vector have length 6, that number must be 6 divided by the length of w.