vectors i + cos (P- j+ cos (y - a) k, cos and s (ß−y) ĵ+ak, where a, ß and y are different angles. If these vectors are coplanar, pendent of a, ß and y.

Q: (e) Find the angle between two vectors u = (4, -3, 6) and v = (3, 0, 1).

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Q: nd the angle between vectors. Show work →        →      →        → w   = −3? + √3? and ? = ⟨√3, −3⟩…

A: To find the angle between two vectors. a →=−3i+3jb →=3i−3j

Q: Which of the following is parallel to the vector (-14, 0, 7)? i. (-2, 0, -1) ii. (14, 0, 7) iii. (1,…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Show that the points with position vectors 4i + 5j, 3i + 3j and -3j are collinear.

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Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

A: Givenu=2,-3,v=(5,-2),w=(-6,-4) The objective is to find the angle between the vectors 6) angle…

Q: {0·0·0} - {0·8·0} - {0···0} II. I only B II only CI and II only DI and III only

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Q: 1. (25%) Let Po = (0,0,0), P1 vectors connecting points Po, P and Po, P2, respectively; (a) Find the…

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Q: 1. Three vectors are given by: å = 2î – 3ĵ + 5k, b = -2î + 7j – k and č = lî + 2j – 4k. axb Find a,…

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Q: 3. Given (3, 10,-8) and v = (-1,6,4), b) find a unit vector in the same direction as v-u

A: The given problem is to find the unit vector in the same direction of the vector v-u. Given vectors…

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

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

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: Let u=j-5k, v=5i-j+k, w=-10i+2j-2k Which vectors, if any, are perpendicular? Which are parallel

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Q: Find the angle a in radians between the vectors απ -3] and

A: Step 1: Given vectors: u=[−3−1​] and v=[1−2​] Step 2: To find the angle 𝛼 between two vectors a and…

Q: Let ā = (1, – 5, 2) and b = ( – 1, 5, 3). %3D Find the angle between the vectors (in degrees).

A: We know that for two vectors a→ and b→,   cos(θ)=a⇀.b⇀|a||b|⇀⇀ where θ is the angle between vectors.…

Q: 4. For the vectors (2, 1) and = (1, 2) Find the dot product u · v, and the angle 0 between the two…

A: According to the given information, it is required to calculate the dot product and angle between…

Q: Given vectorsu = (1,3) and v (0. -3), find u

A: Given vectors are The vector u.v is evaluated as follows

Q: 13. The angle between the vectors and .

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Q: 30. Velocity of a Star The space velocity v of a star relative to the sun can be expressed as the…

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Q: The vector from the origin to point A is given as 2â - 2ý, and the unit vector directed from the…

A: Given that  The vector A is 2x-2y Unit vector is 2x/3+2y/3-z/3 Distance from a to b is 14.4 To find…

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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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: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

A: