4. If r= xax + yay+ zaz is the position vector of point (x, y, z), r = |R| and n is an integer, show that: 2 v²(Inr) = (÷)"

Q: 2. Determine the sum and the difference of the two unit vectors below: R= B+ C R = B+ C and R= B- C*…

A:

Q: 1.44) The slider travels along the guide rod AB with the velocity v= 6om/s. Determine the…

A: CONCEPT:

Q: 20.0° 60.0° The three displacement vectors in the drawing have magnitudes of A = 5.06 m, B = 5.70 m,…

A: According to question we need to find resultant magnetic field and direction.

Q: 1- Find a. v.u, v|,|u| b. the angle between v and u c. the scalar component of u in the direction of…

A: 1. The given vectors are, v→=35i^+45k^u→=5i^+12j^ (a) The dot product of two vectors is calculated…

Q: IV. Three displacement vectors are given as shown in figure. Their magnitudes are 1) |A| = 15 m,…

A:

Q: 4) The components of vectors A and B are given as follows: Ax=7.6 Ay = -9.2 Bx = -5.1 By = -6.8 What…

A: Given Data Components of the vectors are given as, Ax=7.6 Ay=-9.2   Bx=-5.1 By=-6.8   We have to…

Q: 37. Assuming the +x-axis is horizontal and points to the right, resolve the vectors given in the…

A:

Q: 2. Three displacement vectors are given as shown in figure. Their mag nitudes are JA- 8.0 m, |B|-…

A:

Q: 11. A person drives a car for a distance of 450.0 m. The displacement Ā of the car is illustrated in…

A: The displacement of the car

Q: the question is attatched in the picture

A: Given:The given vectors in component form are:

Q: 7. Given the following components for vectors A-C, find the magnitude and direction for the…

A:

Q: 2. Three displacement vectors are given as shown in figure. Their magnitudes are JA|= 8.0 m, |B|-…

A:

Q: [20] A particle moves from a point in the ry plane having Cartesian coordinates (-3.00, -5.00) m to…

A:

Q: 2. Three displacement vectors are given as shown in figure. Their magnitudes are JA| = 25.0 m, B|=…

A: 3vectors are given : A = 25 with 50 degree B = 18 with 20 degree in Y axis C = 10 with 0 degree with…

Q: 2 • Find the angle between each of the following pairs of vectors: (a) Ả = -2.00î + 6.00ĵ and B =…

A:

Q: 60° A = 10.0 30° 30° 53 D= 20.0 37 37. Assuming the +x-axis is horizontal and points to the right,…

A:

Q: Calculate the angle between the vectors: A = 6.8i - 3.4j - 6.2k and B = 8.2i + 2.3j - 7.0k.

A: Given Data : A→ = 6.8i - 3.4j - 6.2k  B→ = 8.2i + 2.3j - 7.0k We have to find out the angle between…

Q: 27 a0 what are, in unit-vector notation, (a) d¡ and (b) dz? If d, + d2 = 5d, d, – dz = 3dz, and dz =…

A: Given d1 + d2 = 5d3 d1 - d2 = 3d3 d3 = 2 i + 4 j

Q: 31. •Three vectors are given by Ā= 6x + 9ŷ, B = 7x – 3ỹ, and C= 0x – 6ỹ. Find (a) A+B, (b) Ã – 2C,…

A: Given, A→ = 6x^ + 9y^ B→ = 7x^ - 3y^ C→ = 0x^ - 6y^ addition of two vector  M →=ai^ +bj^N → =mi^…

Q: 3. Sketch each of the following vectors with its x and y components, and calculate the value of each…

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

Q: 14. (II) Digital bits on a 12.0-cm diameter audio CD are encoded along an outward spiraling path…

A: Given Data outer radius r2 = 5.8cm. inner radius r1 = 2.5cm. Stright width d = 1.6μm = 1.6 ×10-6m…

Q: 5. Given the following two vectors: A: 200 Units at 130° and B: 100 units at 345° Determine: a) The…

A: Vector is a some object with both magnitude and direction. It can be represented in a graph with its…

Q: 6. Add the following two vectors and write the results in unit vector notation, and also as a…

A: Given vectors C→ = (-3.75 m)i^ + (-9.48 m)j^D→ = (1.92 m)i^ + (6.32 m)j^Let the resultant vector of…

Q: 2- The components of a vector is (Ax = 5 m, Ay =8 m), calculate the magnitude and the direction of…

A: Ax = 5 m Ay = 8 m To find = Magnitude and Direction of the vector

Q: •9 Two vectors are given by d = (4.0 m)i – (3.0 m)j + (1.0 m)& 6 = (-1,0 m)i + (1.0 m)j + (4.0 m)k.…

A:

Q: 8. 48. Three vectors A, B, and C have the following x and y components: A: = 1 m, A, = 0 m, B: = 1…

A:

Q: [21] Two vectors are given by i= 4i+3j and = -it3j. Find (a) i.B and (b) the angle between i and B.…

A:

Q: 9. The displacement vectors and B shown in Figure P3.9 magnitudes A both have of В 3.00 m. The…

A: Given  Magnitude of vector A→ ,  A= 3.00 m , and its direction θA= 30° Magnitude of vector B→ , B=…

Q: Given A = ax + 4ay and B = 5ax – ay + 2az Determine the scalar projection of vector A on vector B.

A:

Q: 1- Given two vectors A is 6 units long and makes an angle of 36 with the positive x-axis, B is 7…

A: Here given two vectors A and B. A is 6 units and B is 7 units. A makes angle 36° with +ve x-axis and…

Q: Obtain expressions in component form for the position vectors having the following polar…

A: (a) 13 m at 140 degree  The resultant R is given by  R→ = 13 (Cos 140 i^ + Sin 140 j^)R→ = - 9.96 i^…

Q: 3. A turning point has an elevation of 65.15m and the foresight taken on that point is 0.30 m. If…

A:

Q: 82. Find the scalar components of three-dimensional vectors Gand H in the following figure and write…

A: Three dimension vector in terms of spherical polar co-ordinates…

Q: 3. Compute algebraically the resultant of the following displacement: 32m at 42 degrees east of…

A: Given: A=32 mB=40mC=23mD=11mE=21mF=23m

Q: I. Write the letter and answer corresponding to your choice for every item... If two displacement…

A: Given that:- Two displacement vectors S1=6m and S2=8m is given.

Q: The position of a particle changes from ĩ1 = (2.02 + 3.03) cm to 72 = (-4.0i + 3.0j) cm. What is the…

A:

Q: 3) For the vectors in the figure below : (a) write all the vectors in the unit vector…

A:

Q: 9. What is the x-component vector of the vector shown in Figure 2? a. 12.0i m b. -12.01 m c. 10.4i m…

A: Given Magnitude of vector is |v|= 12.0 m The x component of vector is   vx=vcos30o     =(12.0…

Q: 82. Find the scalar components of three-dimensional vectors G and H in the following figure and…

A:

Q: 10. Convert the following vector F(x,y,z) to Cylindrical coordinates when x = 3, y = 4: хах + уay +…

A:

Q: QUESTION 6 Given two vectors A and B with A -(3.0 m) x+(1.0m) y^ and B-(-5.0 m) x-(3.0m) y What is…

A:

Q: 1. Drawing a shows two vectors A and B, and drawing b shows their components The scalar components…

A: (1) Given: Ax=-4.9 m. Ay=3.4 m. Bx=4.9 m. By=3.4 m.

Q: (II) You are given a vector in the xy plane that has a magnitude of 70.0 units and a y component…

A: Answer             +25√3 ,  -25√3                                                  {25√3=43.3013}…

Q: 6) Given the three vectors A = 1.00 î - 4.00 j, B = 3.00 î, and Ĉ = -2.00 j evaluate the following…

A:

Q: 46. The three displacement vectors in the drawing have magnitudes of A = 5.00 m, B = 5.00 m, and C =…

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

Q: 5. The difference between a scalar and a vector can best be summarized by which of the following?…

A: Vector quantity is defined as the a physical quantity which has both direction and magnitude.  For…

Q: 2. Find A-B for the following cases: (a) A = 6 units, east and B= 4 units, west; and (b) A = 7m, 60°…

A:

Q: 18 - The cross products of the rectangular unit vectors i, j and k, which is true? O A) jxk= -i B)…

A: We know that cross product of two vectors is also a vector quantity. i, j, k all are unit vectors…

Q: 7- Which of the following statement concerning vector and scalar quantities is incorrect? a- All…

A: The physical quantity that has magnitude and direction is known as a vector quantity.

Q: 1. Draw and label the vector with these components. Then determine the magnitu angle of the vector.…

A:

Estimate of calculation