If \( \overrightarrow{\mathrm{A}}=4 \hat{\mathrm{i}}-3 \hat{\mathrm{j}} \) and \( \overrightarro...

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If \( \overrightarrow{\mathrm{A}}=4 \hat{\mathrm{i}}-3 \hat{\mathrm{j}} \) and \( \overrightarrow{\mathrm{B}}=5 \hat{\mathrm{i}}+18 \hat{\mathrm{j}} \) then magnitude and direction of \( \overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}} \) will be:
a. \( 17.49, \tan ^{-1}(2) \)
b. \( 15, \tan ^{-1}(4 / 3) \)
c. \( 20, \tan ^{-1}(4 / 5) \)
d. \( 17.49, \tan ^{-1}(5 / 3) \)
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