If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain your reasoning.

Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

Q: or what values of aj are the vectors [ai,4,3] and a) orthogonal? b) Parallel? c) Have 45 degree…

A: If 2 vectors a⇀,b⇀  are orthogonal, their dot product a⇀.b⇀ =0 Let u=a1,4,3 and v= 3,-2,12 So,…

Q: Determine the resultant of two vectors with magnitudes of 50 and 30 and an angle of 110 degrees…

A: let  A=50 & B=30, θ=1100 We know resultant between two vectors A→ & B→ when angle between…

Q: Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Given vector is p,q,r. We have to illustrate the method to find the unit vector having same…

Q: If vector a= and vector b=, find the angle between vectors a and b, rounded to the nearest degree.

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Q: Find the angle (in radians) between the 2 vectors U(-3, 4, -4) and V(1, 2, 2)

A: Given vectors are,               U(-3, 4,-4 ) and V(1, 2, 2 )

Q: what is the magnitude of the vector

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Q: Find the angle between the vectors a=(2,2,-1) and b=(5,-2,3)

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Q: 9. Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Formula: The unit vector in the same direction of a vector v→ is given by, v^=v→v Given: p, q, r To…

Q: Find the angle between the two vectors and determine if theY are, or thogonai: ü=5i-33+2k ahd V=-i-…

A: We will use the formula: θ=cos-1u→·v→u→v→First we calculate:…

Q: Find two unit vectors parallel to (2, 3).

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Q: Find the angle between two vectors, 6 and 8 units long, when their resultant is (a) 10 units long…

A: Given: The angle between two vectors, 6 and 8 units long

Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

Q: How do you find the cross product a x b of two vectors if you know their lengths and the angle…

A: If you know the length of the two vectors a and b then, you essentially know |a| and |b| And then…

Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

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: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k

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Q: find the cosine of the angle between the vectors. (1, 1, 1), (2, −1, 2)

A: Given: (1, 1, 1), (2, −1, 2)

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

Q: The angle between the vectors a=(2,6) and b=(3,-1) is Select one: O a. O b. 3 3. O d.

A: Angle between two vector  Vector a = 2i+6j Vector b= 3i-j

Q: The angle between two vectors a = (1, 1, 2) and b = (-1, 2, k) is 60°. Find the value(s) of

A: Topic:- application of vector algebra

Q: What is the angle e between the vectors u= and v= in R* ? (Express the answer to the nearest…

A: B

Q: The inner(dot) product of two vectors and with lengths a and b. is given by a-b = abcos(y+2 T) ,…

A: The statement is true. The given statement is true because , Given a→.b→=abcosγ+2π But, cos…

Q: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

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Q: If the magnitude and direction of vector ? are 2√5and 153.3°, what are the components of vector ??

A: Simplification of vector

Q: Find the angle a between the vectors 5 2 and 1 a =

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Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

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: If u and v are vectors in Rn, what is the relationship between uTv and vTu? Are they equal? Justify…

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Q: Find the measure of the angle between the two vectors. 4) u =(-6, -2) v = (6,-6)

A: An angle between 2 vectors is defined as, cosθ=u→·v→|u→||v→|   Here given vectors are,…

Q: Find the angle between the given vectors to the nearest tenth of a degree.u = <2, -4>, v =…

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Q: Find the angle between the vectors ā = and b = . [Nearest degrees]

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Q: The angle between the vectors a=(2,6) and b=(3,-1) is :إختر أحد الخيارات а. 4 b. С. 3 d. 2

A: The required angle is, option (b) π/2 The detailed solution is as follows below:

Q: Two vectors are equal is they are parallel and have the same magnitude and direction ylgn O ihi

A: For two vectors to be equal, they must have both the magnitude and the directions equal.

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

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Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

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Q: Find the values of x such that the angle between the vectors ⟨2, 1, −1⟩ and ⟨1, x, 0⟩ is 45 Degrees…

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Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: Find the measure of the angle between the two vectors. 24) u-(9,9) v-(-8,-5) V =

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Q: Please state the Pythagorean Theorem using the language of vectors; then prove it.

A: In this given question ask state of pythagorean theorem using the language of vectors and prove it.…

Q: Let u and v be vectors. If their dot product is zero what is the angle between u and v (in degrees)?

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Q: If vector C is added to vector B , the result is -9i -8j . If vector B is subtracted from vector C,…

A: If vector C is added to vector B , the result is -9i-8j C+B=-9i-8j If vector B is subtracted from…

Q: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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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.