Given two vectors A S -2.00dn 3.00en 4.00kn and B S 3.00dn 1.00en 3.00kn , (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A S B S ; and (c) find the magnitude of the vector difference A S B S . Is this the same as the magnitude of B S A S ? Explain.
Added by Marina H.
Step 1
Assume that dₙ, eₙ, and kₙ are unit vectors in the x-, y-, and z-directions, respectively. Vector A = –2.00 dₙ + 3.00 eₙ + 4.00 kₙ (components: –2.00, 3.00, 4.00) Vector B = 3.00 dₙ + 1.00 eₙ + 3.00 kₙ (components: 3.00, 1.00, 3.00) Show more…
Show all steps
Close
Your feedback will help us improve your experience
Hubert Agamasu and 73 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Given two vectors $\overrightarrow{\boldsymbol{A}}=-2.00 \hat{\imath}+3.00 \hat{\jmath}+4.00 \hat{k} \quad$ and $\overrightarrow{\boldsymbol{B}}=3.00 \hat{\imath}+1.00 \hat{\jmath}-3.00 \hat{k},$ (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference $\vec{A}-\vec{B} ;$ and $(c)$ find the magnitude of the vector difference $\vec{A}-\vec{B} .$ Is this the same as the magnitude of $\overrightarrow{\boldsymbol{B}}-\overrightarrow{\boldsymbol{A}}$ ? Explain.
Given two vectors $\vec{A}=-2.00 \hat{\imath}+3.00 \hat{\jmath}+4.00 \hat{k} \quad$ and $\vec{B}=3.00 \hat{\imath}+1.00 \hat{\jmath}-3.00 \hat{k},$ (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference $\vec{A}-\vec{B} ;$ and $(\mathrm{c})$ find the magnitude of the vector difference $\vec{A}-\vec{B} .$ Is this the same as the magnitude of $\overrightarrow{\boldsymbol{B}} \overrightarrow{\boldsymbol{A}} ?$ Explain.
Given two vectors $\overrightarrow{A}$ = $-$2.00$\hat{\imath}$ $+$ 3.00$\hat{\jmath}$ $+$ 4.00$\hat{k}$ and $\overrightarrow{B}$ = 3.00$\hat{\imath}$ $+$ 1.00$\hat{\jmath}$ $-$ 3.00$\hat{k}$, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference $\overrightarrow{A}$ $-$ $\overrightarrow{A}$; and (c) find the magnitude of the vector difference $\overrightarrow{A}$ $-$ $\overrightarrow{A}$. Is this the same as the magnitude of $\overrightarrow{A}$ $-$ $\overrightarrow{A}$? Explain.
Units, Physical Quantities, and Vectors
Unit Vectors
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Watch the video solution with this free unlock.
EMAIL
PASSWORD