Consider the two vectors (vec{A} = 2hat{i} - 2hat{j}) and (vec{B} = -hat{i} - 3hat{j}). (a) Calculate (vec{A} + vec{B}) (b) Calculate (vec{A} - vec{B}) (c) Calculate (|vec{A} + vec{B}|) (d) Calculate (|vec{A} - vec{B}|) (e) Calculate the directions of (vec{A} + vec{B}) and (vec{A} - vec{B}).
Added by Lourdes B.
Close
Step 1
In this case, we have |B| = sqrt((-f)^2 + (-3)^2) = sqrt(f^2 + 9). Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 92 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
Consider two vectors A = 3î - 2ĵ and B = -î - 4ĵ. Calculate (a) A + B, (b) A - B, (c) |A + B|, (d) |A - B|, (e) the direction of A + B and A - B, and (f) a unit vector that points in the direction of A + B.
Ivan K.
Given the vectors A = i + j and B = 2i + 4j, find: a) A + B b) A - B c) A x B
Adi S.
Consider the two vectors $\mathbf{A}=3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}$ and $\mathbf{B}=-\hat{\mathbf{i}}-4 \hat{\mathbf{j}}$ Calculate (a) $\mathbf{A}+\mathbf{B},$ (b) $\mathbf{A}-\mathbf{B},(c)|\mathbf{A}+\mathbf{B}|,$ (d) $|\mathbf{A}-\mathbf{B}|$ and (c) the directions of $\mathbf{A}+\mathbf{B}$ and $\mathbf{A}-\mathbf{B}$
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD