Assuming that u and v are two vectors with equal norms. a) What is the relationship between the vectors u + v and u - v? Prove your claim. b) How is the angle from u to u + v with respect to the angle from u to v? Prove your claim.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: Define the term Parallel Vectors?

A: Parallel vectors: The vectors that are parallel if they have the same direction.

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: Find the angle between two vectors ū = (1, –1,0), and ở = (2, –1,2) %3D

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Q: How is the angle between two vectors defined and how is it computed?

A: the angle between two vectors is computed using cosθ

Q: Choose the option that describes the angle between the vectors u=2i+3j-5k and v= - 4j+k O acute O…

A: Question is solved.

Q: What unit vector is in the same direction as v = 2i - 4j?

A: The unit vector in the direction of vector V is given as:

Q: The path C to D is consistent with what unit vector and its sign? The path G to C is consistent with…

A: Given:  To find the unit vector for the following paths for which they are consistent and the sign…

Q: Prove using vectors that the points (1,1,2)A(2,1,1), B(1,2,1), C represent the vertices of a…

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Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

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

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Q: If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the cosine of…

A: Given ,  If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the…

Q: 4. If d and bare unit vectors and |a + 61= v3, determine (2d – 38)- (+2). %3D

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Q: Finally, verify that the vectors satisfy the Parallelogram Law |||² + ||||? 3. ī = (2, –1), w =…

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Q: What is the angle in radians between the vectors a = (10, -6, 0) and b = (3, 7, 6)? %3D Angle:…

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Q: prove using vectors that the points (0),2 -2- (B2,0, -2, C, (2,2-,10) represent the vertices of a…

A: We have to check weather the given points are Vertices of Traingle or not.  After that we have to…

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Find the solution below

Q: What is the area of the parallelogram determined by the vectors v = (1, 3, 6) and w = (-1,0, 3)?

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Q: Find the area of the parallelogram that has the given vectors u = j,   v = j + k as adjacent sides.…

A: Known facts: The area of the parallelogram that has the given vectors u  and v as adjacent sides is…

Q: Explain with the help of an example whether the angle between vectors is acute or obtuse.

A: As the Angle Increases, the Name Changes: Type of Angle Description Acute Angle is less than…

Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: By vector methods, show that the line segment joining the midpoints of two sides of a triangle is…

A: To prove :- The line segment joining the midpoints of two sides of a triangle is parallel to the…

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 area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

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: Find the acute angle formed by two diagonals of a cube. (vectors) show complete solution.

A: It has been assumed that the length of each side of the cube is a unit.

Q: Which of the vectors OP = (1,-1,5) and og = (2,-1,0) is not perpendicular to the line Li- - z.…

A: The equation of a line that passes through the point x0 , y0 , z0 in three dimensional space is…

Q: direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

A: Given query is to find indicated vector.

Q: The volume of the parallel pipe formed by three vectors A, B, and C is 50 cubic units. if A(-2,6,3),…

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Q: five vectors in Span v1, V2}. Do not make a sketch. 8 - -

A: In this question, the concept of the span of the vector is applied. Span The smallest linear…

Q: 2. The unit vector in the same direction as (-6, 12) is

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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: What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?

A: Given  a = (2, 5, -1) and b = (-3, 2, 6) To find angle between two vectors:

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: The vectors (8, 6) and (k, 12) are parallel. What is the value of k

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Q: Show that the order of addition of two vectors does not affect their sum. Show this property by…

A: Consider two vectors A and B having the values. A=2i+3j+6kB=5i+9j+11k These two vectors have…

Q: If vectors u and v are represented by arrows, describe how the vector sum u + v is represented.

A: Given that: The vector u and v are representing by arrows, So,

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

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

Q: Determine the angle between the vectors a = (4, 5, 2) and b = (-3, 6, 0)

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Q: see attachment

A: We have to use dot product formula.

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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Q: 10. Calculate the area of the parallelogram formed by the vectors a =(3, 2,-2) and b = (2,-1,2).

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Q: a) tor which values on a are the vectors 87 2 -- a linearln independent?

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Q: 4. Find a unit vector that is perpendicular (5, 6). to

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