A) 19 m
B) \[\sqrt{27}\]
C) \[\sqrt{45}\]
D) \[\sqrt{50}\]
Correct Answer: C
Solution :
[c] \[\text{\vec{A} = }4\hat{i}+6\hat{j}.\] If \[{{\text{B}}_{\text{x}}}\] and \[{{\text{B}}_{\text{y}}}\] are the components of vector along x and y axes, then \[\text{4+}{{\text{B}}_{x}}\text{=10, }\therefore \text{ }{{\text{B}}_{x}}=6\] Also \[\text{6+}{{\text{B}}_{y}}\text{=9, }\therefore \text{ }{{\text{B}}_{y}}=3.\] \[\text{Thus, B}\,\text{=}\sqrt{\text{B}_{x}^{2}\text{+B}_{y}^{2}}=\sqrt{{{6}^{2}}+{{3}^{2}}}=\sqrt{45}.\]You need to login to perform this action.
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