Q) write down the application of cross dot scaler triple and vector triple product ?

Q: Find the area of the parallelogram determined by the vectors: u = (1,0,–3),v = (2,3,0)

A: By using formula  Area of parallelogram

Q: What is the cross product of the vectors 214 3k and 6.9- 3k ? Explain why your answer is conne ar…

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Q: Describe the​ statement, "A vector orthogonal to u and v​," using dot product and cross product…

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Q: It vector eqml to 0, thin Hith lamth V= 40,0,07

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Q: Explain how there exists an appropriate dot product technique for both Cartesian and Geometric…

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Q: prove by vector method that diagonals of rectangle are equal in length and bisect each oth

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Q: Explain why there is no vector v such that × v =.

A: We explain why there is no vector v such that  <1,2,1> × v =<3,1,5>

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

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Q: Define Dot Product of vectors.

A: The dot product (scalar product) of two vectors is the magnitude of the vectors and the cosine of…

Q: In general, show that the vectors V = ai + bj and W = -bi +aj are always perpen-dicular. Assume a…

A: Given vectors are v=ai+bj and w=-bi+aj, where a≠0 ,b≠0. We know that two vectors are perpendicular…

Q: What is the dot product of a vector with the cross product that this vector has with another vector?

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: B. Explain with sketch how can calculate the volume of parallelepiped by three vectors?

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Q: Describe the Z-axis in R as the span of a vector. Can you describe it as the span of other vectors…

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Q: Consider two forces of equal magnitude acting on a point. When the resultant of the forces is 0,…

A: given: the two forces of equal magnitude acting on a point and the resultant of the forces is 0.

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (2, 5, 3), Q = (– 3, –…

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Q: By using vector scalar multiplication and vector triple product, prove the identity below: Ã x [Ã x…

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Q: A parallelipiped is constructed using vectors (8.1,2.3,0), (9.5,2.0,0) and (7.3,-2.1,7.7), what is…

A: To find the volume of parallelepiped.

Q: Forces are called concurrent when their lines of action meet in Perpendicular planes Select one:…

A: Given the statement Forces are called concurrent when their lines of action meet in perpendicular…

Q: What is the magnitude of the cross product of two parallel vectors? The magnitude of the cross…

A: We have to find projection

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: 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: I’m working with a unit vector, so its dot product with itself must be 1.Determine whether the…

A: Since, a unit vector is one whose magnitude is always 1. And the formula for the dot product between…

Q: The area of a parallelopiped that is formed by two vectors A and B can be obtained mathematically…

A: It's area of parallelopiped is given by A×B.

Q: (B) Show that the area of triangle is - ÁxB (Using Vector method)

A: Let, a parallelogram be:

Q: What is the magnitude of the cross product of two parallel vectors?

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Q: what is the vector angle formula?

A: Let the two vectors as: u→=a1i^+b1j^+c1k^v→=a2i^+b2j^+c2k^

Q: A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters…

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Q: Which vectors, drawn on a grid from one point (on the "cross-hairs") to another have integer values?

A: Y-component of A →…

Q: Use vectors to prove that the line segment joining the midpoints of two sides of a triangle is…

A: Using Vectors, Our Aim is to prove that the line segment joining the midpoints of two sides of a…

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

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Q: 9. Which is traveling faster, a car whose velocity vector is 217 +35j or a car whose velocity vector…

A: We are authorised to solve only one question, please repost remaining questions Magnitude of vector

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: The scalar product of two vectors is defined as the product of their magnitudes times the of the…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Write four forms of dot product for two vectors A and B by defining their metric tensor?

A: The dot product of two vectors, A and B in metric tensor form can be written as A→·B→=gμν aνbμ ,…

Q: Let p and q be two non-zero vectors. By using the definition of vector product show that pxq =…

A: In the given question, calculate the area of the parallelogram where two sides p and q are given.…

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = (2, −1, 0), v = (−1,…

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

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Q: what will be four forms of dot product for two vectors A and B by defining their metric tensors?

A: Dot product of two vectors is given by the product of the magnitudes an cosine of the angle between…

Q: Vector ä has a magnitude of zo and poin ts 60' Norte of East. Caleulate the * and comporents of À

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Q: Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the side…

A: Here ask to prove the line joining the midpoint of a median to a vertex of the triangle trisectsthe…

Q: Find the area of a parallelogram with two sides identified by vectors from the origin to the points…

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

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Q: The dot product of two vectors is also equal to the product of their __________ multi-plied by the…

A: The dot product of two vectors is also equal to the product of their __________ multi-plied by the…

Q: Give a vector description of the midpoint M of a line segment AB→.

A: GivenLine segment AB→To find vector description of midpoint of AB

Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.

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.