Given vectors A = a, + 3a, and B 5a, + 2a, - 6a,, determine (a) A + B| (b) 5A B (c) The component of A along a, (d) A unit vector parallel to 3A + B

Q: Two vectors are defined as A = a,+ 5a, +3a, and B = 3a,+2a, + a,. Which of the following vector is…

A: To find the perpendicular vector to (A+B)

Q: 14. If the angle between the vectors A = xâ +â andB = V3â +â is 60°, find X,

A: We need to find out value of unknown for given angle

Q: The cross product of two vectors yields a vector. Select one: True/ False

A: The given statement is true. The cross-product of two vectors gives the magnitude of the…

Q: Given two vectors A = 4ax + 2.5ay – 2az and B = 5ax + 2ay + 4 az . find (a) the angle between vector…

A: It is given that: A=4ax+2.5ay-2azB=5ax+2ay+4az

Q: a) Given vectors (in Cartesian coordinates) A = 4x – 3ỹ + 22 and B = 5ŷ – 2 iii. Prove that A x B is…

A: Two vectors A and B are said to be perpendicular to each other if dot product of the vectors is zero…

Q: Find whether the vectors are parallel, (-2,1,-1) and (0,3,1)

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Q: Need urgently

A: According to question:

Q: If AB(1,2,-2) is not unit vector then the unit * vector is

A:

Q: Two vectors are defined as A = a, +5a, +3a, and B = 3a, +2a,+ a,. Which of the following vector is…

A: Given vectors are: A = ax + 5ay + 3az B = 3ax + 2ay + az We have to find which of the vector is…

Q: B. The distance vector R12 can be obtained from vector 1 and vector 2 by Subtracting the 2nd vector…

A: Given

Q: Question 9 Consider the vectors A =4ag+2ka, ta, and B = ag+4ay-16a, what value of k the two vectors…

A: Given  Find the value of k

Q: Given the vectors below, find A • B A = 15a, + 12a, - 5az B = 10a, - 8a, %3D Select the correct…

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Q: Given A = 4a + a_and vectors B = 2a_ + 3a , find the scalar projection of A on B.

A: The detailed solution is provided below.

Q: L A Moving to another question will save this response. Question 6 Consider the vectors A…

A: Given  Two orthogonal  vector find k value

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, – 7.5az, Show that A and B are dependent vectors.

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Q: 2. Given the vectors A = 3ax - 8ay - 2az, B = -2ax + 6ay + 3a, and C = -2ax + 4a, 9az %3D %3D -…

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Q: Q1) Find two unit vectors that are parallel to the xy- plane and are orthogonal to the vector w=āx -…

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Q: Check whether the two following vectors are parallel or not: A=(-2,1,-1) B=(0,3,1)

A: The given vectors can be written as

Q: Given A=ax+ay, B=ax+2az, and C=2ay+az, find (AB)×C and compare it with AX(BXC). Problem Solving 15

A: Since you have posted the multiple questions so we are supposed to answer the 1st answer.In the…

Q: (a) Ả·B (b) Ả×B (c) Angle between A and B

A: In this question , we have to find out dot product and cross product of given vectors..

Q: The resultant of cross product of two vectors is a new vector perpendicular to .both of them True O…

A: We need to tell about whether the given statement is true or false.

Q: If position of vectors of the points 2i+j-k and B = 5i + 4j + 3k, find |AB|.

A: Step 1: Step 2: Step 3: Step 4:

Q: a) Given vectors (in Cartesian coordinates) A = 4x - 3ŷ + 22 and B = 5ŷ – 2 i. Determine A x B

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

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Q: 1. The unit vector û = (x+2)/√5 lies in the xy plane. Use the dot product to find a unit vector…

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Q: The dot product of two vectors

A: Dot Product  Let vector a¯=a1,a2,a3b¯=b1,b2,b3 The DOT product of vector a and b is given as…

Q: The sum of 2D RCS vectors (A + B) is equal to 7a, + 13a, while their difference (A - B) is equal to…

A:

Q: The component of the Vector A =a, +2a, -a̟ along the vector B=3a, +4a, is Select one: a. 3. D. 8. Ag…

A: Given tha two vectors A and B as follows

Q: Give a reason why the dot product of two vectors is known as the scalar product

A: Suppose there are two vector that is A and B, A→=Axi^+Ayj^+Azk^B→=Bxi^+Byj^+BZk^ Now, multiplying…

Q: Given two vectors A = i-√3j+k and B = 1.5i -j- √5k. Determine the vector projection of A on B.

A:

Rectangular Coordinate System

In a rectangular coordinate system, each point based on the pair of coordinates is specified uniquely in the plane. From two fixed perpendicular lines, these coordinates are at a distance in the rectangular coordinate system. Each line is known as the reference axis and axes as plural. The point where they meet is called the origin (0,0).