Vectors u and v have magnitudes 2 and 3.   What is the largest magnitude their cross-product can have?

Q: How do you find the dot product a. bof two vectors if you know their lengths and the angle between…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact…

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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 two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact…

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Q: The vector u has length 16 and points at an angle of 25 The vector v has length 14 and points at an…

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Q: A balloon floats 18.5 kilometers east and then 24.6 kilometers north. What is the angle of the…

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Q: a = 8i-j+ 4k, , b=4j + 2k Find the angle between the vectors.( First find an exact expression and…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 4j. NOTE: Enter the exact…

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Q: If a vector has direction angles alpha = pi/4 and beta = pi/3, find the third direction angle gamma.

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Q: Find the cosine of the angle between the vectors: a = 4i + 2j-k b=2i+ 4j-k

A: Simply take the dot/scalar product of both vectors a & b.

Q: If vectors have the same magnitude and direction, then they are_____.

A: We have to fill in the blanks: If vectors have the same magnitude and direction, then they are…

Q: unit

A: To get the unit vector that is in the same direction as the original vector v, we divide the vector…

Q: Find two unit vectors that are perpendicular to both  j + 2k and i - 3j + 2k  (Enter your answers…

A: Cross product of two vectors give always a perpendicular vector to both.

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: Find the angle α in radians between the vectors and α=

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Q: 5. Determine the resultant of two vectors with magnitudes of 30 and 70 units and an angle of 45…

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Q: 9. A and B are unit vectors with an angle of 120° between them. Determine 3A +2B and it's direction.

A: We have to find the vector addition.   A→+B→=A→2+B→2+2A→B→cosθ

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

Q: A child pulls a sled along level ground by exerting a force of 30 pounds on a handle that makes an…

A: Given that: The magnitude of v is 30 pounds Angle( θ ) = 45°

Q: Find the components of the vector with magnitude 5 and direction θ = 2π/3

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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: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boat's resultant…

A: Given :

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 smallest positive angle between the given vectors to the nearest tenth of a degree:  and

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Q: Find the vector v that has magnitude 3| and makes the angle 0 = n with the positive x-axis. v = help…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

A: To draw the vector V from origin

Q: Two vectors are being added, one at an angle of 20.0 , and the other at80.0 . The only thing you…

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

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Q: True/False: Vectors are completely determined by their magnitude. In contrast, scalars are…

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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: Express the vectors in terms of their lengths anddirections. √2i + √2j

A: If a vector is defined as: v→=ai+bj Then, the length or magnitude of the vector is: |v→|=a2+b2 The…

Q: Vectors v and w have magnitudes ||ü|| = 9 and ||w|| = 13 and the angle between these vectors is…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: If vector V has a magnitude of 34 and an angle of 280° with the positive X axis, write V |an in…

A: The vector V has a magnitude of 34 and an angle of 280° with the positive x axis.

Q: The vectors 2 and are given by 1= 21+4j-k m and --3i+5k m. Detemine the scalar and vector product à…

A: on solving this we get

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: To find angle, we use the dot product formula A.B=|A|.|B|.cos(x)

Q: Find the magnitude of the vector (9, 12).

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Q: Vector V has a horizontal vector component with magnitude 14 and a vertical vector component with…

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Q: Suppose a vector has magnitude 10 and a direction angle of 240°. Find the component form of the…

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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: Find the vector in vl that has magnitude 8| and is in the opposite direction of (-3, –5, 1). v =||…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the angle between the vectors  [ 2 ]    And    [4] [ 1 ]               [6]

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Q: Find a unit vector in the direction of the given vector. Verify that the result has a magnitude of…

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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.