Question icon
Grade 12th passMechanics

can vector have zero magnitude if one its components is not zero?

Profile image of Abid
8 Years agoGrade 12th pass
Answers icon

1 Answer

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