6. What is the resultant vector of $\vec{R} = \vec{A} + \vec{B} - \vec{C}$ where $\vec{A} = 6.0 \hat{i} + 25 \hat{j}$, $\vec{B} = -129 \hat{i} + 66 \hat{j}$, and $\vec{C} = 23.0 \hat{i} - 17 \hat{j} + 200 \hat{k}$ ?
Added by Jacob B.
Close
Step 1
$\vec{R} = (6.0 \hat{i} + 25 \hat{j}) + (-129 \hat{i} + 66 \hat{j}) - (23.0 \hat{i} - 17 \hat{j} + 200 \hat{k})$ Show more…
Show all steps
Your feedback will help us improve your experience
Suman K and 65 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
Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters long and points 56° counterclockwise from the positive x-axis. The vector B is 4.0 meters long and points along the negative y-axis. The vector C is 2.8 meters long and points 53° clockwise from the negative y-axis. What are R and θR, the magnitude and direction angle for the resultant vector R = A + B + C? Express your answer numerically in meters and degrees respectively as the ordered pair (R, θR) using three significant figures. Measure the angle θR counterclockwise from the positive x-axis.
Suman K.
Vectors A, B, and C are given. Vector A has $x$ -component $=+3.00$ and $y$ -component $=+4.00 .$ Vector $\mathbf{B}$ has $x$ -component $=+5.00$ and $y$ -component $=-7.00 .$ Vector $\mathbf{C}$ has $x$ -component $=-2.00$ and $y$ -component $=+1.00 .$ Find the resultant vector $\mathbf{R}$.
A particle undergoes three consecutive displacements: d1 = (1.5i + 3.0j - 1.2k) cm d2 = (2.3i - 1.4j - 3.6k) cm d3 = (-1.3i + 1.5j) cm Find the components of the resultant displacement vector and its magnitude. Rx = 2.5 cm Ry = 3.1 cm Rz = -4.8 cm Where: R = 3.13 cm Rx = 2.5 cm Ry = 3.1 cm Rz = -4.8 cm Where: R = 6.2 cm Rx = 1.5 cm Ry = 2.3 cm Rz = -1.3 cm Where: R = 3.03 cm Rx = 3.0 cm Ry = 1.4 cm Rz = -1.5 cm Where: R = 3.05 cm
Mahendra R.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD