Given 2 lines expressed in terms of vectors, how to determine the normal vector on the intersection of the 2 lines? a. Symmetric equations b. Parametric equations c. Dot product d. Cross product

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: The current of a river is given by the vector (7,5). The direction of the vector is

A: We have to find the direction

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

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: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Please find angle between following two vectors. Type answer in degrees, integer only. (/2, /2) and…

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Q: what is the magnitude of the vector

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Q: For three vectors, find the magnitude and direction of the vector  D= A - B+3C. A of length 6.4 and…

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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: What’s the difference between a ray and a vector?

A: The vector has finite magnitude and direction, while the ray has direction  and starting point and…

Q: How do you find a vector's magnitude and direction?

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Q: α, β and γ are the angles made by the vector with x, y and z axis respectively. The squares of the…

A: Given ,  α, β and γ are the angles made by the vector with x, y and z axisrespectively. We have to…

Q: A unit vector in the direction of the given vector is

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Q: 1. Find the value of k that will make the vectors v = and w = perpendicular to each other. %3D

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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: certain plane is described by 2x + 3y + 4z = 16. Find the unit vector normal to the surface in the…

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

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Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: Find the cross product of the vectors ä = and b = .

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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: What is the unit vector with the same direction as the vector v = 2i - 7j? Write as a linear…

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Q: Find the angle a between the vectors and -3

A: The question is from the topic of vector algebra

Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) the dot product of the two vectors a(-2,5) and b(3,6) a · b = ax · bx + ay · by = -2 · 3 + 5 ·…

Q: b) How do you tell if two vectors are perpendicular?

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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: If the the femur bz is represented by the vector , find a vector b, that is perpendicular to the…

A: We have  Initial point =(-2,5) Terminal Point =(3,8) Now, Terminal Point-Initial…

Q: Ã = ë, + 3ểy – 2ể, : Calculate the angle between the B = 4ëx – ëy : vectors A* and B". = -3e, - 5ẽ,

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

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Q: Calculate the resultant and equilibrant vector and its direction of a man who walks 25.0meters East,…

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

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Q: The vector a is twice as long as the vector b. The angle between the vectors is 25°, and the…

A: Use the formula of cross product and area of parallelogram.

Q: Verify the parallelogram law for vectors u and v in R": |u + v|l? + ||u – v||° = 2||u||? + 2||v||?

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Q: Consider V=(6, -3) & W=(-4, 8) Find angle between the two vectors.

A: Recall: Angle between two vectors:     Let a→ and b→ be two vectors then,             cosθ=…

Q: a. Find vectors nį and n2 that are normals to II and IL respectively and explain how you can tell…

A: The planes are given by π1: x1x2x3=0-33+λ11-12+λ2313 and π2: x1x2x3=000+μ112-1+μ2340. For π1:…

Q: Find the angle between the vectors v and w v = (−2, 3, 1)T , w = (1, 2, 4)T

A: Consider the given vectors: Here the objective is to find the angle between vector v and w.

Q: Find the measures of the angles of the triangle whose vertices are A = * .(-1, 0), B = (2, 1), and C…

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Q: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

A: Since

Q: Two vectors are given as A=-1a, + 6a, + 6a, B=-6a, + 5a, + 6a, Find a unit vector normal to the…

A: Given,Two vectors are-A=-1ax+6ay+6azB=-6ax+5ay+6az

Q: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

A: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

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

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Q: Find the vector equation of the line (d) through (6, −3) and parallel to the line through (5, −1)…

A: First, we find the slope of the line  through (5, −1) and (2, 11) Direction vector is=(2, 11)-(5,…

Q: Find the angle between the two vectors v, = and v2 = give the answer in degrees, rounded to one…

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Q: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

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Q: s opposite or equal vectors?

A: Consider the given information as Are parallel vectors always opposite or equal vectors