Explain this statement: “The magnitude of a vector is a scalar.

Q: Unlike scalars, vectors have which of the Following? a) magnitude b) units c) position d) direction.

A: Scalars and vectors

Q: If A = a(3.0i + 4.0j), where a is a constant, determine the value of a that makes A a unit vector.

A:

Q: If the magnitude of a vector D =76.9 and is directed 29.3 clockwise from the negative x axis, what…

A: Given,  magnitude of vector D=76.9 m, and its making 29.3o angle with -x axis in clockwise direction…

Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given    The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

Q: A unit vector has the magnitude of

A: The answer for the given question is given in the next section.

Q: magnitude of the resultant is:

A: Let, there are two vector A and B. The magnitude of these two vectors given as, In vector algebra,…

Q: Find a unit vector that is perpendicular to both A=5i 2j + 2k ft and B= 3i + 2j + 4k ft.

A:

Q: The  x component of vector   is 9 units, and its  y component is 5.5 units. The magnitude of   is…

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Q: Determine the magnitude and coordinate angles of the resultant force acting at A. dAB dac R in…

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Q: What are the x and y components of a vector of magnitude 100 making an angle of 45? with the…

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Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

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Q: The x component of the vector is -3.5 units, and its y component is -4.5 units. The magnitude of…

A: Given, X component(X) = -3.5 Y component(Y) = -4.5

Q: A vector is given by its components x 2.5 m and y =7.5m. What angle does the vector make with the…

A: Given: x-component of a vector, Ax=2.5 m y-component of a vector, Ay =7.5 m   To determine angle…

Q: The magnitude of a given vector with end points (4,- 4, 0) and (- 2,- 2, 0) must be (a) 6 (b) 5/2…

A: According to question we need to find the magnitude of the vector joining two points ?

Q: If B→ is added to C→=7.7î+7.9ĵ, the result is a vector in the positive direction of the y axis,…

A: C = 7.7 î + 7.9 ĵ Resultant is along Y axis and magnitude is equal to C.

Q: Determine the magnitude of the vector sum V = V, + V½ and the angle 0g which V makes with the…

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Q: What is the unit vector of the sum of 2i + 5j - 6k and 3j + 3k?

A: A→=2i+5j−6kB→=3j+3kR→=A→+B→=(2i+5j−6k)+(3j+3k)=2i+8j−3kNow

Q: under what circumstances would a vector have components that are equal in magnitude?

A:

Q: The magnitude of a given vector with end points (4, – 4, 0) and (– 2, – 2, 0) - must be 6. 7.07 4 O…

A: According to Bartleby policy I can only answer one question.so I am answering the first…

Q: Calculate the resultant of a horizontal vector with the magnitude of 4 units and a vertical vector…

A: OB is the horizontal vector, BA is the vertical vector and the resultant is OA.

Q: The components of a vector are Ax = 2.9 and Ay = 5.3, and the components of a vector are given are…

A: Given data: Vector A=Ax+Ay ⇒ A=2.9 x + 5.3 y         (1) Vector B=Bx+By ⇒ B=7.7 x -10 y…

Q: How many of the vectors have a horizontal component other than 0?

A: In the given diagram, d2  vector is acting along y-axis. Hence, its horizontal component is 0. For…

Q: Use the component method of vector addition to find the components of the resultant of the four…

A: A = 2.25 cos 60 degree i + 2.25 sin 60 degree j B = 6.35 cos 20 degree i - 6.35 sin 20 degree j c =…

Q: Vectors A ⃗ and B ⃗ have identical magnitudes of 5.0 units. Find the angle between them if A ⃗ + B ⃗…

A: Given data: The magnitude of vector A is: 5 unit The magnitude of vector B is: 5 unit The resultant…

Q: Can the component of a vector be greater than vector itself?

A: Consider a vector R as shown below.

Q: If one of the two components of a vector is not zero, can the magnitude of the other vector…

A: The magnitude of a vector R in terms of its components Rx and Ry is  Then, magnitude of the both…

Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.81 units, respectively. The angle between…

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Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: If a 4i+ 2j -k and b = 2i-6j-3k, then calculate a vector that is perpendicular to both a and b.

A: The cross product of two vectors gives out a vector. This resultant vector is perpendicular to both…

Q: The vector that has components of both positive and negative signs must lie in which quadrant of the…

A: Given- The vector that has components of both positive and negative signs must lie in which quadrant…

Q: What are the components of a vector of magnitude 1.7 m at an angle of 37 degrees from the positive x…

A: Let say we have a vector of magnitude A making angle * with x axis then   x component will be A…

Q: Can a magnitude of a vector have a negative value? Explain

A: magnitude represents the size (length) of the vector.  which does not have direction

Q: Suppose two vectors A and B of magnitude 3 and 4 units are placed tail to tail with an angle of 60…

A:

Q: Find the magnitude and direction of vectors represented by the following pair of components…

A: (a)  Ax = - 2.3 cm, Ay = 4.1 cmA =Ax2 + Ay2A =2.32 + 4.12A = 4.7 cm tanθ =4.1-2.3θ =119.3°

Q: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

Q: A vector component is always larger than the magnitude of the vector. True False

A: Given that:- Basic concepts of vector.

Q: Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

A: Given data:  vector A=2i - 3j and vector B = 2i - 4j Vector C = A - 2B Required: The vector C

Q: A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The…

A: Given :  Magnitude of the vector in x-y plane,  A = 30 units Magnitude of x component of the vector,…

Q: You are given two vectors A = (6.0 m). - (1.0 m)Y and B = (3.0 m)â + (7.0 m)ŷ. All angles measured…

A:

Q: How would you describe what happens to a vector when you multiply it by a scalar?

A: When a vector is multiplied by a scalar, the vector changes its magnitude. If the vector is…

Q: A vector has a magnitude of 12. When its tail is at the origin it lies between the positive x axis…

A:

Q: The x component of the vector is -5.3 units, and its y component is 2.3 units. The angle that the…

A: A→=-5.3 i^ + 2.3 j^A=5.32+2.32=5.77A^=AA→→=-5.3 i^ + 2.3 j^5.77

Q: It is defined as the physical quantity that only has magnitude  A. Vector  B. Scalar

A: Question : It is defined as the physical quantity that only has magnitude Solution :

Q: The  x component of vector   is 8.7 units, and its  y component is -6.5 units. The magnitude of   is…

A: The magnitude of vector is ,

Q: You are given a vector in the zy plane that has a magnitude of 86.0 units and a y component of -58.0…

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Q: What is the length of a vector having these coordinates: (3, 5,-2) ?

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Q: Find the magnitude of the vector sum of these two vectors by using components: 65 mm, 55 ∘∘; 70 mm,…

A: We need to calculate the magnitude of the vector sum of the given two vectors using the component…