A vector in the direction of vector a = î – 2ĵ that has magnitude 7 units is: (1)
A. \(\frac{1}{\sqrt{5}} \hat{i}-\frac{2}{\sqrt{5}} \hat{j}\)
B. \(\frac{7}{\sqrt{5}} \hat{i}-\frac{14}{\sqrt{5}} \hat{j}\)
C. \(\frac{1}{\sqrt{5}} \hat{i}+\frac{3}{\sqrt{5}} \hat{j}\)
D. \(\frac{14}{\sqrt{5}} \hat{i}+\frac{7}{\sqrt{5}} \hat{j}\)
Answer:B
A vector in the direction of vector a = î – 2ĵ that has magnitude 7 units is: (1)
A. \(\frac{1}{\sqrt{5}} \hat{i}-\frac{2}{\sqrt{5}} \hat{j}\) B. \(\frac{7}{\sqrt{5}} \hat{i}-\frac{14}{\sqrt{5}} \hat{j}\) C. \(\frac{1}{\sqrt{5}} \hat{i}+\frac{3}{\sqrt{5}} \hat{j}\) D. \(\frac{14}{\sqrt{5}} \hat{i}+\frac{7}{\sqrt{5}} \hat{j}\)