Given the following vector v:v=⟨8,1⟩𝑣=⟨8,1⟩Step 1 of 2 : Find a unit vector pointing in the same direction as v.
Question
Solution 1
A unit vector in the same direction as v can be found by dividing v by its magnitude.
Step 1: Calculate the magnitude (or length) of v. The magnitude of a vector v = ⟨a, b⟩ is given by √(a² + b²).
For v = ⟨8, 1⟩, the magnitude is √(8² + 1²) = √(64 + 1) = √65.
Step 2: Divide each component of v Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Given the following vector v:v=⟨8,1⟩𝑣=⟨8,1⟩Step 1 of 2 : Find a unit vector pointing in the same direction as v.
A vector v = [3, 8] has a rectangular component in the direction [3, 1]. Find the rectangular components of vector v. use grade 12 knowledge.
Two vectors, one 12m pointing downwards and another 30m pointing upwards, are added together. What is the magnitude and direction of the resultant vector?
A vector has a magnitude of 2m, but is pointing in an unknown direction. What is the maximum possible magnitude of its horizontal component?
Consider the planes 3x+5y+2z=1 and 3x+2z=0,find a unit vector v with positive first coordinate that is a parallel to both planes.