find the vector of length 5 that has the same direction (2,5,-4)
Added by Abdullah S.
Step 1
Given direction vector: (2, 5, -4) Magnitude of the direction vector: sqrt(2^2 + 5^2 + (-4)^2) = sqrt(4 + 25 + 16) = sqrt(45) = 6.7082 Unit vector along the direction: (2/6.7082, 5/6.7082, -4/6.7082) ≈ (0.298, 0.745, -0.596) ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Nishant Kumar and 91 other Calculus 3 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
Find the unit vector that has the same direction as the vector $\mathbf{v}$. $$\mathbf{v}=-5 \mathbf{j}$$
Additional Topics in Trigonometry
Vectors
Find the unit vector in the same direction as $\mathbf{v}$. $$\mathbf{v}=5 \mathbf{i}$$
Polar Coordinates; Vectors
Find the vector in the direction of \langle 5,-12\rangle with length $3 .$
Vectors and the Geometry of Space
Vectors in the Plane
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD