I’m working with a unit vector, so its dot product with itself must be 1.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Q: Find the unit vector in the direction of <4,2>

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Q: The formula for vector projection is incorrect, rendering this solution useless. In the formula, it…

A: Let us consider two vector A and B then the angle between two vectors is obtained as cosθ=A·BAB The…

Q: What geometric relationship must two vectors have in order for ||u + v|| = ||u|| + ||v|| ?

A: The expression ∥u+v∥denotes the norm of u+v, ∥u∥denotes the norm of u and ∥v∥denotes the norm of v.…

Q: If å = v2i +j - k, what is the vector whose alignment a is in the opposite direction and its size…

A: Given a→=2i+j−k We have to find the vector whose alignment a→ is in the opposite direction and its…

Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A: The magnitude lvl and direction angle θ are given as lvl = 10,  θ = 330° We need to write the…

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

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Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: Use paper and pencil to identify the redundant vectors. 4 3. 0. 0.

A: Definition : Redundant vector in a set is a vector which can be written as linear combination of…

Q: What is the unit vector in the direction of v = ?

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

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Q: The opposite of a vector is a vector with the ______ magnitude and __________direction. To obtain…

A: we know that opposite of a vector is a vector with same magnitude and opposite direction. to obtain…

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west. Determine whether…

A: It is known that a vector is a quantity that has both a direction and a magnitude.

Q: Which two vectors are perpendicular to both a and b?

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: Find the dot product of two vectors if their lengths are 36 and 1 and the angle between them is Need…

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Q: Let b be the vector of length 35 that when drawn in standard position makes a 290° angle with the…

A: Given : length of vector b=35 ⇒b=35 Also, b makes angle 290° with positive x axis. So, b=b1i+b2j,…

Q: 2. Find the unit vector in the direction of

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Q: Although I expected vector operations to produce another vector, the dot product of two vectors is…

A: The dot product of vectors is also known as scalar product of vectors. When we find dot product of…

Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A: We have to find the dot product

Q: What is the magnitude of the vector (2, 4, –4)?

A: FORMULA

Q: (a) How do you tell if two vectors are parallel?

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: We have to find the component  form of the vector with given magnitude  and direction.

Q: Find the magnitude of the horizontal and vertical vector componentsfor a vector.

A: By taking the the vector to be analyzed as the hypotenuse, the horizontal and vertical component can…

Q: What is the dot product of the vectors a = 4i + 3j and b = -3i + 4j?

A: Solution is given below:

Q: Find the dot product of the given vectors ü=, ö=

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Q: own your onw word, meaning for two vectors to be parallel?

A: Vectors are parallel if they have the same direction Both components of one vector must be in the…

Q: To find the dot product of two vectors, _________ corresponding components, andthen ____ these two…

A: To find the dot product of two vectors, _________ corresponding components, and then ____ these two…

Q: Explain how to find the unit vector in the direction of any given vector v.

A: To find the unit vector in the direction of the given vector v, divide the vector v by its…

Q: How can you tell when vectors span a certain R^? Please explain in the most simplistic detail>

A: Let S=v1,v2,v3 And v1=1-12;v2=213;v3=-102 Does SpanS=ℝ3? if any vector in ℝ3 can be expressed or…

Q: Find the cross product of the unit vectors j × k and sketch your result.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

Q: Try plotting Three Vectors and show the Resultant Vector as a result. Use Head to Tail Method.

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Q: Given the vector u , can you find 1. A vector in the same direction as u but with length 1? Enter…

A: Given a vector 'u'. We need to find vectors in the same direction of 'u' but with length 1 and 6.…

Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: Find a unit vector in the same direction as (2i - 6j - k). Oi-j-k O

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

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Q: Briefly explain why the dot product of a non zero vector with itself does not equal zero whereas the…

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Q: Determine the angle that the vector [- /3, – 1] makes with the positive horizontal X - axis

A: To find the angle between the vector -3,-1 and positive x-axis

Q: 1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

A: Given

Q: Please provide a well explained answer for the follwoing. And explain what are the main features of…

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Q: How do we know if two nonzero vectors are perpendicular?

A: Two non-zero vectors are perpendicular if their dot product is zero.

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west.Determine whether…

A: Reason: (i)  When a velocity of a wind travels from the west and from the east of…

Q: Use your knowledge of vector dot product to explain why the following product is either true or…

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