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Can a vector have zero magnitude if one of its components is not zero?

Shane Macguire , 10 Years ago
Grade upto college level
anser 3 Answers
Deepak Patra

Last Activity: 10 Years ago

No, a vector cannot have zero magnitude if one of its components is not zero.
Consider a vector\overrightarrow{b} = b_{x}\widehat{i}+b_{y}\widehat{j}+b_{z}\widehat{k} such that its magnitude is:
\left | \overrightarrow{b} \right | = \sqrt{b_{x}^{2}+b_{y}^{2}+b_{z}^{2}}
It can be seen from this equation that if any ofb_{x}, b_{y} orb_{z} is non-zero, the magnitude of vector\overrightarrow{b} will also be non-zero.

Khwaga Jenay

Last Activity: 8 Years ago

Can the two vector having different magnitude to be combined to give a zero resultant and can three vector

ankit singh

Last Activity: 4 Years ago

No, a vector cannot have zero magnitude if one of its components is not zero. The Brainliest Answer! The magnitude of a vector is computed as the sum of squares of its elements. ... However, if those elements are complex numbers, for example, then it is possible that the vector has zero magn

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