1) Given the two vectors, both start at the origin; (3, 4) and (-3, 4), find the angle between the two vectors. It would be a great idea to draw a picture to help you understand the situation.

Q: How do you find the dot product a. bof two vectors if you know their lengths and the angle between…

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Q: Determine the resultant of two vectors with magnitudes of 50 and 30 and an angle of 110 degrees…

A: let  A=50 & B=30, θ=1100 We know resultant between two vectors A→ & B→ when angle between…

Q: The unit vector from the origin to the point A is given as (6, -2, -4), and the unit vector from the…

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Q: Consider the parallelogram given by vectors [12, 5], and [18, 0]. Give the lengths of the altitudes…

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Q: What unit vector is in the same direction as v = 2i - 4j?

A: The unit vector in the direction of vector V is given as:

Q: Find the angle between the vectors a=(2,2,-1) and b=(5,-2,3)

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Q: For the three vectors a, band, it is found that ax statement below is true?

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Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

Q: Find two unit vectors parallel to (2, 3).

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Q: Find the sum of the given vectors. a - (3, 0, 2), b- (0, 6, 0) Illustrate geometrically.

A: Given, Two vectors  a = ⟨3, 0, 2⟩   b = ⟨0, 6, 0⟩  We have to find the sum of vectors and illustrate…

Q: Consider the vectors ū = (1,–3, -5) and i = (1,4,–10) and 0, the angle between them. Find 0

A: Given vectors are u⇀=1, -3, -5 and v⇀=1, 4, -10. To find angle θ between them. Solution: We know…

Q: Show that if u+ v and u - v are orthogonal, then the two vectors must have the same length. What…

A: Hence the two vector u and v have same length.

Q: Finally, verify that the vectors satisfy the Parallelogram Law |||² + ||||? 3. ī = (2, –1), w =…

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Q: How do you find the cross product a x b of two vectors if you know their lengths and the angle…

A: If you know the length of the two vectors a and b then, you essentially know |a| and |b| And then…

Q: Find the angle between the vectors å = (4,3) and 5 = (2, –1). (First find an exact expression and…

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Q: Suppose u= and v = are two vectors that form the sides of a parallelogram. Then the lengths of the…

A: given u and v vector form the side of a parallelogram  diagonal of parallelogram  are equal in…

Q: Find the measure of the angle between the three-dimensional vectors a and b. Express the answer in…

A: SOLUTION: given vector a=19, -1, 4 and b=1, -1, -5 to find angle between two vectors lets use dot…

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

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Q: The vector from the origin to point A is given as 6a, – 2a, – 4a., and the unit vector directed from…

A: The vector from the origin to point A is 6ax-2ay-4az Therefore, vector A is A→=6,-2,-4 Now, the unit…

Q: (6, -2, -4), and the unit vector from the origin toward point B is (2, -2, 1)/3. If points A and B…

A: The vector from the origin to point A is given as (6, −2, −4), and the unit vector directed from the…

Q: The angle between the vectors = (6, -2, 3) and 7= (1, p, -2) is cos Determine the value of p.

A: Given:  The angle between the vectors a→=6, -2, 3 and b→=1, p, -2 is cos-1-114. To Find:  To…

Q: Find the acute angle formed by two diagonals of a cube. (vectors) show complete solution.

A: It has been assumed that the length of each side of the cube is a unit.

Q: Find the measure of the angle between the two vectors. (-4, 5) (-6,3) ►

A: Consider the graph

Q: It is known that two vectors are equal and represented by A- (2+3x)i + 11j and B- -7i + (3x + 2y)j…

A: if two vectors are equal then coefficients of I and j are same.

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

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Q: 2. The unit vector in the same direction as (-6, 12) is

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Q: Find two vectors and 02 whose sum is (2, –4), where is parallel to (2, -4) while vz is perpendicular…

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Q: What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?

A: Given  a = (2, 5, -1) and b = (-3, 2, 6) To find angle between two vectors:

Q: Find the vector of length 2 making an angle of 45° with the x-axis.

A: Find the vector from the given data

Q: To make it work two signal receivers are placed at fixed locations. The first one at origin point A…

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Q: The sum of two vectors is called the ___________, and it can be represented geo-metrically as the…

A: The sum of two vectors is called the resultant, and it can be represented geometrically as the…

Q: Find the values of x such that the angle between the vectors ⟨2, 1, −1⟩ and ⟨1, x, 0⟩ is 45 Degrees…

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Q: The vectors (8, 6) and (k, 12) are parallel. What is the value of k

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Q: Suppose u = (-2,–3) and v = (2, –10) are two vectors that form the sides of a parallelogram. Then…

A: The diagonals of the parallelogram are u+v and u-v then we find the lengths of diagonal.

Q: Show that the order of addition of two vectors does not affect their sum. Show this property by…

A: Consider two vectors A and B having the values. A=2i+3j+6kB=5i+9j+11k These two vectors have…

Q: Since A, B and C vectors are perpendicular to each other, A, B, C, =? A -6) â, 1 (8) â, + A‚⸠B 19)…

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Q: Find two vectors ūj and īz whose sum is (-5, –3), where vj is parallel to (2, 5) while īz is…

A: To find - Find two vectors v1¯ and v2¯ whose sum is -5, -3, where v1¯ is parallel to 2, 5 while v2¯…

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: Find two vectors vj and 2 whose sum is (-2, -5), where is parallel to (-3, 4) while vz is…

A: Solution: The objective is to find the vectors

Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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Q: The dot product of two vectors is also equal to the product of their __________ multi-plied by the…

A: The dot product of two vectors is also equal to the product of their __________ multi-plied by the…

Q: Find the angle between the vectors (2v3, 1), b = (-7, v3). а — 1. angle 6 2. angle 3 ||

A: Solve for angle

Q: Find the values of x such that the angle between the vectors ⟨2, 1, −1⟩ and ⟨1, x, 0⟩ is 45 . (Pls…

A: The angle between the vectors ⟨2, 1, −1⟩ and ⟨1, x, 0⟩ is 45 degrees. We need to find the value of x

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: If a = (4, 3, 1, – 2), ß= (- 2, 1, 2, 3) are two vectors in V, (R), find the angle be- tween a and…

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