-3 Vị = -5 V2 -2 12 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = -3 ? -3 Ex: 42 aj = a2 =

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3 4 4 3 3i-3i Ou=15i- 20j

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Q: Q.1 If a = 3i - j-4k, b= -2i + 4j- 3k and c =i+ 2j-k. - Find unit vector parallel to 3 a -2 b +4 c .

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0,…

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Q: (c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

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Q: The angle between the pair of vectors v₁ = 0, v₂=a is 0 = 45°. What is the value of a ? 1-₁2-

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Q: Q2) The vector of length (15) and in direction of Ã=i-2j-k is: * 1 :k 15(i– 2j-k) i+ خیار 3 15 30 i+…

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Q: -9 Vị V2 -2 -8 13 ? -32 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = a1…

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Q: B. For vectors u = and v = Find 1. 4u – 2v 2. A vector of length 20 in opposite direction of 4u – 2v

A: For the vectors u = ( 2, 0, -3 ) and v = ( 0, 1, -2 ) we need to answer the following questions.

Q: Find the magnitude of the vector 3i - 3j. 18 O 23 0 6 312

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: 3) Find the components of the vector i that has a magnitude of |0| = 9750N and direction 0 = 243.0°-…

A: Find the components of vector v. |V| = 9750 θ= 243.0o

Q: Vị = V2 = -2 Given a1 = 4 and az = 3, what vector is formed by the linear combination a1 Vi + a2V2?…

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Q: Find the vector whose magnitude is 5 and which is in the direction of the vector 4i – 3j + k. Q.2…

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Q: 2. For the line through P(3, 2, – 1 ) and Q( – 2, 1, – 4 ), determine each of the following : a)…

A: For the line through P3, 2, -1 and Q-2, 1, -4, to determine each of the following: a vector…

Q: 1. Give the vector equation of a line perpendicular to the line L: x= 21-1, y=-31, 1 e R. Are there…

A: Given line: l:x=2t-1, y=-3t, t∈ℝ To find the other line The vector equation of the line is…

Q: If u =(3, 3), v=( 13. -7), and 2w +3u-v= (4,-4) then what is the coordinate of vector w?

A: Since u=(3,3), we have u→=3i→+3j→ Also, since v=(13,-7), we have v→=13i→-7j→ Let w=xi→+yj→ Given…

Q: 4 3 Let U 4 and V = - 5 - 3 -2. Find the angle between the vectors (in radians).

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Q: 4 Vi = 2 V2 -4 -22 ? -16 Which weights should be used for b = a1vị + a2V2 to obtain the vector b =…

A: given                                            v1=42, v2=-6-4 Also…

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3. 4 3 Ou-15i-20j

A: We have to find unit vector

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

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Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

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Q: 5. V = 3 V2 = 7 4 -5 -2 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = 10…

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Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: A plane with an airspeed of 450 miles per hour is flying in the direction N35°W.A vector is…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: If you three vectors a = i + j + k, b = 2i – j + 3k and c = i – 2j + k , find a unit vector parallel…

A: Given,          The three vectors are a→=i+j+k , b→=2i-j+3k and c→=i-2j+k.

Q: Q1. For vector A (5i+2j-7k) and vector B (6i-4j+6k), Find (A) 24 - 3B ? (B) The value of A and B ?…

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Q: The magnitude of the vector from the point A(-1 5, - 3) to the point B(7, 0, - 6) is: V142 O7/2 O5/2…

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Q: -1 parallel to the vector (4, -1) ? For what value of t,if any, is the vector Not AO t=- 16 BO t =…

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Q: ) If m = 2i+2j-k and n = 31-6j+2k, find: a) m ·n and b) the angle between m and n. c) the component…

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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: Vị = 3 V2 Given a1 = -3 and az = 2, what vector is formed by the linear combination a1 Vı +a2V2? Ex:…

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Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

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Q: 3. The vectors i and y are each vectors of length 3 units, i.e., = | = 3. If + = V17, determine – j.…

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Q: 10 Select the correct answer. If vector a = and vector b = , what is the resulting vector for 2b -…

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Q: Find the unit vector having the same direction as i = ( – 1,9). V82 V82, 9. of- 1 9. V82 V82 O (1,…

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Q: Vị 6. V2 = 29 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = ? 19 Ex: 42…

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Q: 2. Hhe live in Passing through He oryun and haring * l as it's divecha vector intersects the line…

A: The line in ℝ3 passes through 0 , 0 , 0 and it's directional vector is 1u3. Thus , equation of line…

Q: 1) Check whether the vectors 효-1 33 5], -[3 10 6 T T Va = [2 7 3 2]' are line orly independent.

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Q: The unit vector that has same direction as the vector from the point A(6, 8) to the point B(4, 10)…

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Q: Given a the vector equation r(t)=(2+4t)i+(3−4t)j+(−4−1t)k, rewrite this in terms of the symmetric…

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Q: (b) Oppositely directed to 6i – 4j + 2k. 6 i v = V56 2 k + V56 V56 (c) Same direction as the vector…

A: Given problem:- Find unit vectors that satisfy the stated conditions. (b) Oppositely directed to 6i-…

Q: If v = 7i + 10j, find the vector -5v.

A: We have been given the vector v=7i+10j, and we have to find -5v

Q: Given the vector u→=⟨-6,-2⟩, find the magnitude and angle

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Q: 4 3 Which weights should be used for b = a, vị + a2 V2 to obtain the vector b = ? 2 a1 = Ex: 42 az =

A: Solve the following

Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

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Q: Find an equation for the line through P(11,10) parallel to vector v=2i-3j

A: Given point on the line is P(11,10) The vector parallel to the line is,v=2i-3j

Q: The angle between vector A =4ax+5ay+6az and B = 3ax -2ay + 4az is * O 68.75 degrees O 56.62 degrees…

A: Angle between two vectors

Q: Q.3 For what value of m, the vector 4i + 2j - 3k and mi - j+ 3 k have same magnitude?

A: The magnitude of a vector is the distance of the point whose coordinate is represented by the given…

Q: 9) If v = 5i + j and w 2i + j, find v + w . Find the quantity if v = 5i - 7j and w = 3i + 2j. 10) |…

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Q: If a = 3i-j-4k, b - 2i + 4j-3k and c i+2j-k. Find unit vector parallel to 3 a -2 b +4 c. Q.1

A: Comment:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…