Two vectors are given by, A = i + 23 and B = -2î + 3ĵ. (a) Find A x B in unit vector notation. (b) Find the angle between the vectors Á and B.

Q: The vectors a(3;-4) and b(x; 9) are perpendicular to each other. Calculate the magnitude of the…

A: Given vectors are: a→=3,4 and b→=x,9

Q: 1.) Find the angle between the vectors v = -6i + 2j and w = i+ 7j

A: Solving by dot product we have

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: 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: 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: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: (a) Find the vector of length 2 that makes an angle of π/4 with the positive x-axis. (b) Find the…

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

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Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

Q: Consider the vectors ä = 5i+ 3- k, 6= 5i – 3 + k, 1+53+ 6k d = i+3+6k, j = -1-53+ k. Which pairs (if…

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Q: Find the angle 0 between the vectors in radians and in degrees. - co) + sin() = cos 4 u = cos i +…

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Q: Find a unit vector that has the same direction as the given vector. -5i + 7j

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Q: Find the angle between the vectors ū = 21– 35 and V = 2i+45.

A: To Find the angle between the vectors u = 2i-3j and v = 2i +4j. Explanation:- The angle between two…

Q: Show that the pair of vectors is perpendicular. -2i - 5j and 10i – 4j To show that -2i – 5j and 10i…

A: Given,            To show that -2i -5j and 10i - 4j are perpendicular.

Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: Find the angle 0 between the vectors in radians and in degrees. 37 + sin 4 37 27n 27 + sin (a) in…

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Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

Q: Find the direction cosines and direction angles of the vector 3i +2 i – k .

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Q: What is the dot product of the vectors a = 4i + 3j and b = -3i + 4j?

A: Solution is given below:

Q: Find the angle 0 between the vectors in radians and in degrees u = 9i + 5j + k v = 5i – 9j (a)…

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Q: The position vectors of the points A and B are given by a = 2i+3j and b = 4i+j respectively. Write…

A: Given that: Position vectors of A and B are:        a=2i+3j        b=4i+j

Q: Find the angle a between the vectors 5 2 and 1 a =

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 4i + 2j + k v = 2i – 4j (a)…

A: u=4i+2j+kv=2i-4j

Q: If a = 31 - j-4k, b= - 2i + 4j- 3k and c =i+ 2j-k. Find unit vector parallel to 3 a -2 b +4 c Find…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

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Q: Show that each pair of vectors is perpendicular.     2i + j and i - 2j

A: Solution: Consider the given vectors are  a→ = 2i + jandb→ = i - 2j We know that if the dot product…

Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: Find the angle O between the vectorS 3. and -2

A: Given: 34-2 &114 We can write given vectors as, u=3, 4, -2v=1, 1, 4 We know that,…

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: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

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

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Q: Find the angle between the vectors v = 4i - 3j and w = i + 2j. Round to the nearest tenth of a…

A: Given vectors,v=4i-3j  and w=i+2jwe have to find the angle between given vectors

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: Find the angle 0 between the vectors i + 2j - 3k and -i + 2j + k.

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Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: Find a unit vector in the same direction as the vector : a = 8i − 6j

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. Enter the vector i as i,…

A: here here we have

Q: (B): Find the unit vector perpendicular to the vectors: 4i + 5j - 6k 3i - 4j+5k ;

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

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

A: The given vector is v=-3i+2j-4k

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: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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Q: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…

Q: Find the angle 0 between the vectors in radians and in degrees. u = 6i + 4j + k v = 4i – 6j (a)…

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Q: If a vector V is in standard position and the tip of the vector corresponds to the point(a, b), then…

A: Given, If a vector V is in standard position and the tip of the vector corresponds to the point(a,…

Q: Show that each pair of vectors is perpendicular.     -6i -5j and 10 i -  12 j

A: If two vectors A and B are perpendicular then its dot product A.B=0Dot product:i, j,k are the…

Q: Find the angle a between the vectors 3 a || -1 -2 - and 1

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 7i + 2j + k v = 2i – 7j (a)…

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