Given the vectors M = -10ax+4a, – 8a, and N= 8ax+ 7a, – 2a-, find: (a) a unit vector in the direction of –M+2N; (b) the magnitude of 5ax +N – 3M; (c) |M||2N|(M+N). - -

Q: Q3:If the two vectors A= 3i +2j + 5k, and B= 2i - j+4k, they located in the x and y plane, find the…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: и Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

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Q: For what values of b are the vectors and orthogonal?

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Q: For what values of h the vectors -3.72%3D linearly independent are

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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: When analyzing the vector To the sum of two vectors, the first is parallel to the vector A = 2i-i+3k…

A: There is no specific formula.Please go through the solution.

Q: b) Consider the vectors a = 3i – 2 j +7 K, and b = -5 i +4 j-3 k, find 1- a.b 2- Angle between a and…

A: b Given vectors are a=3i−2j+7k and b=−5i+4j−3k. 1 We have to find the a⋅b…

Q: If u = 5i - j+ k, v =j - 5k, w = -15i + 3j - 3k. Which vectors, if any, are (a) perpendicular? (b)…

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Q: a) Let a = 2i – 3j + xk and b = -3i + j + xk. Find the values of x for which vectors a and b are at…

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Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: Find the angle between the diagonals of a parallelogram constructed on the vectors a=2 i +j and b=-2…

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Q: Find the angle between the vectors ū = 5i – 5j +k and v = 2i + 16k.

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Q: Given the vector ū = - 4i + 5j, find the magnitude and angle in which the vector points (measured…

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Q: B- For what values of a1 are the vectors [a1,4,3] and [3,-2,12] are 1) Orthogonal? 2) Parallel? 3)…

A: Angle between two vector

Q: Draw the vector V that goes from the origin to the given point. (3, -4) y -6 -4 -12 2 -4 -2 -2 -4 y…

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Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the opposite direction of w.

A: Given vectors are v=-2i+j , w=4i+3j

Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C = ix - iy + iz Find the following:…

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Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: In a triangle ABC, points E and F are on the sides AC and BC respectively, such that AE is 1/3 of AC…

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Q: Q2: Find the angle between the two vectors A = 5i - j+ 2k and B = -3i + 2j + k

A: Angle between the vector u and v is θ=cos-1u.vu.v.

Q: For what value or values of a will the vectors u = 2i + 4j - 5k and v = -4i - 8j + ak be parallel?

A: Given,

Q: The vectors a, b and c are such that 2a – b+c= 0. If a = 4i – j+k and b = i- 2k , find a unit vector…

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Q: Given the vectors a=(-1,5,-4) and b=(2,-7,2) find the vectors x € R3 , with magnitude v371 and…

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Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: The unit vector which is perpendicular to both r1=8ax+3ay-2az, * r2=2ax+7ay-6az is equal to a)…

A: Given That: The unit vector is perpendicular to r1=8ax+3ay-2az & r2=2ax+7ay-6az

Q: Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

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Q: Given the vectors, a = (4,-5) and b = -10i -8j: %3D a. Find a - 2b.

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Q: For the pair of vectors, find 4U +3V. %3D

A: In a product of one vector with a scalar quantity, the scalar quantity is to be multiplied with all…

Q: Consider the vectors a= 2i +4j-6k, b*=-31 +k and c = 3j¯- 2k. Find a un vector parallel to - 2a…

A: Given query is to find the indicated unit vector.

Q: 1. Assume the lengths of the vectors 2a – b and å + 35 , assuming å = (2,1,3) and b = (-1,2,2) 2. If…

A: Using scalar multiplication of vectors and magnitude of vector concepts  we can solve this question

Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

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Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: A = x6- y9+z3 B = x6- y3+z9 C = x 2- yl-zl For the given vectors A,B, and C show that whether C is…

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Q: Given the vectors v = 3i-8j and w = 6i-j, find 5v and v+w.

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

A: 10,7 and -2,-75

Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C= ix - İy + İz Find the following:…

A: We have to find the vector

Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured…

A: Here we will find the magnitude and direction of given vector,

Q: Given the vector A= 5ax +3ay -7az and B= 3ax +6ay-2az, find (a) a unit vector in the direction of…

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Q: A plane is flying with an airspeed of 200 mph in the direction of N 50°E and a 40 mi/hr wind is…

A: Let u be the vector representing the speed of the plane and v be the vector representing the speed…

Q: Q3/the parallelogram is determined but the vectors KL = and KN =, so the area of parallelogram KLMN…

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Q: For the vector r (3, - 1), what is -4r? The vector - 4r = ( ).

A: Given :   Vector r =  ⟨3, -1⟩  To find : -4r ?

Q: Find the direction angles of the vector. V = -3i + 2j - 4k

A: The given vector is v=-3i+2j-4k

Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find A unit vector in the direction of a.

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Q: Q3: Find the angle between two vectors in space A = 41 - 2J-k B = 4T - 2J + 4k and

A: We need to find the angle between vectors A=4i¯-2j¯-k¯  and B=4i¯-2j¯+4k¯ for this we will use the…

Q: For the given vectors below, Solve for Vector č = (Ã+ B) × (÷ (B × Â)) %3D A = 3i+2j - 6k B = 31 -…

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Q: For the two vectors a = 7i-4j+2k and b = -6i+3j-5k find the scalar component, compąb

A: Consider the formula for the scalar component. Find the dot product for a and b and magnitude of a.…

Q: b) For what values of A, the vectors 2i -j+ 2k and 3i + 22 j are perpendicular?

A: If we have two vectors ai^+bj^+ck^  and a'i^+b'j^+c'k^ , then, these vectors are said to be…