Two vectors are given by these expressions: A S 5 23 i ^ 1 7 j ^ 2 4k^ and B S 5 6 i ^ 2 10 j ^ 1 9k^ . Evaluate the quanti- ties (a) cos21 [ A S ? B S /AB] and (b) sin21 [ 0 A S 3 B S 0 /AB]. (c) Which give(s) the angle between the vectors?
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24. Two vectors are given by A = -3i + 7j + 4k and B = 6i + 10j + 9k. Evaluate the following quantities: (a) cos [A . B/|AB|] and (b) sin^(-1)[|A x B| / |AB|]. (c) Which gives the angle between the vectors?
Shaiju T.
Two vectors are given by $\overrightarrow{\mathbf{A}}=-3 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}$ and $\overrightarrow{\mathbf{B}}=6 \hat{\mathbf{i}}-10 \hat{\mathbf{j}}+9 \hat{\mathbf{k}} .$ Evaluate the quantities (a) $\cos ^{-1}[\overrightarrow{\mathbf{A}} \cdot \overrightarrow{\mathbf{B}} / A B]$ and (b) $\sin ^{-1}[|\overrightarrow{\mathbf{A}} \times \overrightarrow{\mathbf{B}}| / A B] .$ (c) Which give(s) the angle between the vectors?
Two vectors are given by $\overrightarrow{\mathbf{A}}=-3 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}$ and $\overrightarrow{\mathbf{B}}=$ $6 \hat{\mathbf{i}}-10 \hat{\mathbf{j}}+9 \hat{\mathbf{k}} .$ Evaluate the quantities (a) $\cos ^{-1}[\overrightarrow{\mathbf{A}} \cdot \overrightarrow{\mathbf{B}} / A B]$ and (b) $\sin ^{-1}[|\overrightarrow{\mathbf{A}} \times \overrightarrow{\mathbf{B}}| / A B]$ (c) Which give(s) the angle between the vectors?
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