For vectors B = -i – 4j and A = -3i – 2j, calculate the following. Give your answers to three significant figures.

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

A: Scalars and vectors

Q: 7. An airplane heading 275 km/h west while the wind is blowing it 70 km/h north.

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Q: Find a vector of magnitude 8 in the direction of i = (-4, –6, –1). Vector is Find a vector of…

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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: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

A: Solution:-

Q: A vector has x and y components of ( -14.3 , 11.6 ). What is the vector's magnitude and direction?…

A: A vector A has x and y components Ax and Ay respectively. Then the vector's magnitude is A =(Ax2+…

Q: Determine the vector that must be added to the sum A +B in Figure 1 to give a resultant displacement…

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Q: What is the angle between vector A= -3i +4j and the positive x-axis?

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Q: 2. A hiker walking 10 km west then 25 km south

A: Required answer of problem(2)

Q: What is the angle between the vector A = +3i - 2i - 3k and the +y-axis?

A: Given:Vector are,A→=3i^-2j^-3 k^  ...(1)B→=Along y-axisB→=y^=j^  .... (2)We know,cosθ=A→.B→|A||B|…

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

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Q: Find a unit vector parallel to the resultant vectors y, = 12i – 6j + 4k and Y: =- 8i + 3j – 5k.

A: …

Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

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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: For the vectors in the figure, with a = 3.60, b = 2.70, and c = 4.50, calculate (a) a b, (b) a.7,…

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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: Vector B has magnitude 7.20 and direction 14.0° below the +x-axis. Vector C has x-component Cy=-2.10…

A: Vector addition and subtraction can be done directly by taking common i^ and j^ Vector inclination…

Q: If d is just a number, for what value of d is the vector A=2i+2j+4k perpendicular to the vector  B=…

A: When the vectors are perpendicular, then their dot product will be zero.…

Q: For the vectors in the figure, with a = 8.0, b = 6.0, and c = 10 what are (a) the magnitude and (b)…

A: Given data:

Q: What is the length of the vector 7 = aî + bŷ + ck if a = 4.07 cm, b = -8.59 cm, and c- 4.06 cm? Give…

A: Length of a vector: The length of a vector follows the magnitude of the vector: vector…

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: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

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Q: d1+2d2=5d3, d1-d2=9d3 and d3=2+4, then what are the following vectors in unit-vector notation? a)…

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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: • For the two vectors A and B in Fig. E1.370, find (a) the scalar product A B; (b) the magnitude and…

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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: The magnitude of a given vector with end points (4, - 4, 0) and (- 2, – 2, 0) must be (а) 6 (b) 5/7…

A: Given--- ends coordinate of a vector-    A ( 4,-4,0 )   and     B ( -2,-2,0 ) We have to find---…

Q: a vector A (-4i-2j)and  a vector B (-2i-4j) the vector A makes an angle with the positive x axis…

A: The angle made by point A (x, y)  with positive x –axis , when it lies in different quadrant of x-y…

Q: For the vectors shown below, determine the values of A and B that would make Av1 + Bv2 = 2.5î – 2ĝ.…

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Q: the components of vector Q are given as follow: Qx+23.5m Qy=18.6m What is the measure of the angle…

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Q: A vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…

A: Given, the magnitude of vector A = 15, the angle made with the x-axis, 25° the magnitude of vector B…

Q: Vectors C and D have magnitudes of 3 m and 4 m, respectively. What is the angle between the…

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Q: Graph and identify the resultant vectors and measures of an angle. 1. G= 15 M, EAST H = 12 M, NORTH…

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

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Q: The figure shows two vectors, A and B, whose magnitudes are A = 7.0 and B = 5.2. (Figure 1) Figure А…

A: Write the provided vectors. Add the vectors.

Q: | Two vectors are given by these expressions: Ä = -3i+7j- 4k and B = 6i – 10j+ 9k. Evaluate the…

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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: The components of vector d are as follows: d, = 7.5 m and d, between d and +x = 5.0 m. What is the…

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Q: Vectors Aand Bhave equal magnitudes of 5.00. If the sum of Aand Bis the vector 6.00j, determine the…

A: Given Information: The magnitude of the vector A and B is “5.00” Given that the resultant vector of…

Q: The answers of the following (i) scalar product and (ii) vector product of unit vectors is (i)…

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Q: For the vectors in the figure, with a = 12, b = 9.0, and c = 15 what are (a) the magnitude and (b)…

A: "As per the guidelines i solved the first three subpart". (a) The magnitude of the vector a→×b→ is,…

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

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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: C B 5 6. 70° A 40° 8

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Q: Add the following vectors using adding by components method: Ā = 5.30 m, 55.0°| B = 4.53 m, 40.0°…

A: For Vector A : 5.3m ;55o For vector B : 4.53 m ; 40o North of west For vector C: 6.03 m South East

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…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.