If a vector = 2 I cap+ 2 j cap - k cap and b vectors= I cap j cap j ca...
Calculating Vector C
- First, find the magnitude of vector b:
- Magnitude of b = √(1^2 + 1^2 + 1^2) = √3
- Next, determine the magnitude of vector c, which is three times the magnitude of b:
- Magnitude of c = 3 * √3 = 3√3
- Since vector c is parallel to vector a, they will have the same direction. To find vector c, we need to scale vector a by a factor of 3√3:
- Vector c = 3√3 * (2i + 2j - k)
- Vector c = 6√3 i + 6√3 j - 3√3 k
Therefore, the vector c that is parallel to vector a but has a magnitude three times that of vector b is 6√3 i + 6√3 j - 3√3 k.
If a vector = 2 I cap+ 2 j cap - k cap and b vectors= I cap j cap j ca...
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