A hot air balloon has traveled a horizontal distance that can be represented by the vector <3000,0> and a vertical distance that can be represented by the vector <0,500>, where the magnitude of both vectors is measured in feet. What is the magnitude of the distance the balloon has traveled?

Q: The vector that has the same direction as ⟨3,4,3⟩ but has length of 4 is

A:

Q: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

A: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

Q: If a vector is multiplied by a positive scalar, how is the result re-lated to the original vector?…

A: Explanation:

Q: A vector starts at point ( -3, 3) and ends at point (-1, -5) what is the vertical component of the…

A:

Q: Express the vector (-1,5,-6) in R'as (2,0,7), (2,4,5) and (2,-12,13). linear combination of

A:

Q: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

A: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

Q: arry, an avid TikToker, decided to look at his faulty wristwatch to tell his friend dolphins the…

A: Given data on question:  Length of hour hand , Lh = 3 cm Length of minute hand , Lm 1.5 cm  Position…

Q: Find two vectorsī and 02 whose sum is (2, –4), where v, is parallel to (2, -4) while vz is…

A: We have to find vector v1 →and v2→   the sum of vector v1 →and v2→ is 2, -4   vector v1 →is parallel…

Q: The sum of the squares of the direction cosines of a vector in space add up to ..............

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Q: How two-dimensional vector is determined?

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Q: Find a vector that has the same direction as [4, 2,5] but has length 35.

A:

Q: Find two vectors that are not multiples of each other and are both orthogonal to〈2, 0, −3〉

A: Consider the first vector, and the second vector, x1,y1,z1 and x2,y2,z2, respectively. Since both…

Q: We say that two vectors are equivalent .if they have the same components

A: Ginen statement, Two vectors are equivalent if  they have same component.

Q: A company manufactures two products. For $1.00 worth of product B, the company spends $.45 on…

A: We want to find cost per dollar of income.

Q: Draw an example of two opposite vectors that are not parallel or explain why such vectors don't…

A: To find: Two vectors opposite in direction which are not parallel. or, Explain why above two vectors…

Q: Find the vector that has the same direction as (6, 2, -3) but has length 2.

A:

Q: Identify if the vectors〈-1,2,-1〉and 〈2,-4,-1〉parallel or not

A: Two vectors are parallel if the ratio of each component are equal.

Q: Write the vector (7,8, –8) as a linear combination (if possible) as of the vectors (-1,1,2), (2,3,…

A: See answer below

Q: If a vector gets multiplied by a positive number, its direction will be .reversed F TO

A: To check: Whether the statement “if a vector gets multiplied a positive number its direction will be…

Q: Find a vector in the same direction as (3, –2) with length 10.

A: The vector that has the same direction as 3,-2 has the coordinates proportional to the given vector.…

Q: Find the vector that has the same direction as (3, 2, -6) but has length 5.

A: Just follow the flow and you are done.

Q: Find a vector that has the same direction as (-4, 6, 4) but has length 6.

A: we have to find a vector that the same direction as &lt;-4, 6, 4&gt; but has length 6

Q: Find a vector in the same direction as (-5, 2, –3) with magnitude 6.

A: In this question , firstly we can find the unit vector of the given vector and after that we can…

Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: A hiker walks 4 km north and then 5 km northeast. Draw displacement vectors representing the hiker's…

A:

Q: Are the vectors –2 – 8x + 4x², – 4 – 12x – 20z² and -4 – 14x - 6x² linearly independent? choose If…

A: Given three vectors are: −2−8x+4x2, −4−12x−20x2, and −4−14x−6x2 To determine whether the vectors are…

Q: 7. Find a vector that has the same direction as (-2,1, 2) but twice the length.

A: GIVEN DATA : Vector of direction -2, 1, 2       TO FIND : The vector of the same direction but twice…

Q: The independent vectors are also orthogonal. Select one: True or False

A:

Q: Find the vector that has the same direction as (2, 6, -9) but has length 4.

A:

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…

A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…

Q: Are the vectors -1, 3z-2z and-2z - linearly independent? choose If the vectors are independent,…

A: The objective is to determine whether the vectors -1,-3x-2x2 and -2x-x2 are linearly independent or…

Q: How do I solve these questions using vectors?

A: As per our company guidelines we are supposed to answer only first sub-parts. Kindly repost other…

Q: set

A:

Q: Find the sum of the vectors (3,0,1) and (0,8, 0) and illustrate geometrically.

A: Solved below

Q: find two unit vectors orthogonal to (5,-5,3) and (-3,5,2)

A:

Q: If a vector is multiplied by a positive scalar, how is the result related to the original vector?…

A: Solution:- If a vector is multiplied by a positive scalar, how is the result related to the original…

Q: Find two vectors v1 and vz whose sum is (-4, –4, 5), where vj is parallel to (1, 1, –2) while v2 is…

A: we have to find the two vectors v1→ and v2→ whose sum is -4,-4,5 where v1→ is parallel to 1,1,-2…

Q: A vector is described as "A quarterback releases a football with a speed of 44 feet per second at an…

A: Given: A quarterback releases a football with a speed of 44 feet per second at an angle of 30° with…

Q: Find a vector which is orthogonal to the vectors ū = (2, –2, 1) and ū = (4, 3, – 1).

A: Explanation of the answer is as follows

Q: Is it possible to write the vector (-5,11,-7) as a linear combination of the vectors…

A: See the attachment

Q: What are i and j, and what do they represent? They are --Select--- v vectors, or vectors with…

A:

Q: Harry, an avid TikToker, decided to look at his faulty wristwatch to tell his friend dolphins the…

A: Given data on question:  Length of hour hand , Lh = 3 cm Length of minute hand , Lm  = 1.5 cm…

Q: find two unit vectors orthogonal to (-1,-1,5) and (-5,-,3,3)

A:

Q: Will this statement be true or false and why? The vector u results when a vector u – v is added to…

A: topic - true

Q: The dot product of two vectors is a ________ quantity. For this reason, it is some-times called the…

A: Let A and B be two vectors, the dot product is defined asA.B=ABcosθ, where θ is the angle between…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.