(ex) You walk at an angle of 65.0° south of east. The size of the y-component of your displacement is 15.0 m. Determine the (a) x-component and (b) magnitude of your displacement. Assume the positive x-direction is east, and the positive y-direction is north. Draw the vector and axes, and as always, show all your work.

Q: If the scalar product of two vectors, A and C, is |Ã| - equal to -3.5, if two vectors when they are…

A:

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A:

Q: The scalar product of two vectors, A and B, is –7.5. If vector A is given by (3i - 4j) and the…

A: Given : Scalar product (A . B) = -7.5 Magnitude of Vector B (  |B| ) = 4.0 Finding the Magnitude of…

Q: Vector A has a magnitude of 4.0 at 530 counterclockwise from + x-axis and Vector B has a magnitude…

A: Given value--- A = 4 unit  , 53 degree . B = 5 unit , 130 degree. We have to find--- A ● B

Q: Vectors A and B are given by: A = 40.62i+ 85.71j B = 81.48i + 13.19j Find the scalar product AB.

A:

Q: Does the scalar product of two vectors depend on the choice of coordinate system? Yes No

A: No, the scalar product of two vectors depend on the choice of coordinate system

Q: Two vectors in Cartesian coordinates have components A = (3, 3) and B=(2, y). A If the scalar…

A:

Q: Two vectors in Cartesian coordinates have components A = (1, 1) and B = (2, y). If the scalar…

A:

Q: Find the scalar product of the vectors B and C

A: Given data: Magnitude of vector B, B→=15.0 m Magnitude of vector C, C→=12.0 m Angle between vector B…

Q: Using the definition of scalar product, calculate the angel between the two vectors given by à =…

A:

Q: Consider two vectors F = – 2i + 3j – k, and S = 4i – 3j + 2k. The dot product F.S =

A: Given that, F =  - 2i + 3j - k S = 4i - 3j + 2k The dot product of F·S is given by…

Q: Find the magnitude of the vector, Round to two decimal places. You must show work on a separate…

A: Magnitude of vector is 4.12

Q: Find the scalar product of the vectors B and C in Figure 1.

A: The scalar product or dot product of two vectors A→ and B→ is:A→.B→=A→B→cosθ………(1)where,θ is the…

Q: Given the vectors Vị = 3î +j+ k V2 = -2î – k (a) Find the angle between vị and v2. (b) Find v2 × V1.

A:

Q: Given M = 21 – 3j + k and Ñ = 4i + 5j – 2k, calculate the vector product M × Ñ.

A: The given vectors,

Q: Two vectors are given by A = 3 î + 6j and B = -1 î + j. (a) Find A x (b) Find the angle between A…

A: Given that  A = 3i^ +6j^ B = -1i^ +j^A→ x B→ = i^j^k^360-110      = (6 x 0) -(0 x 1) i^  -(3 x 0)…

Q: Consider two vectors Å = -5î – 3j + 2k and B = -8j - 2k, find the angle between vectors Å and B.

A:

Q: USING THE PRODUCTS OF VECTORS. The scalar product of vectors Å and B is +48.0 m². Vector Å has…

A:

Q: What is the scalar product of the following vectors? Show your solution A = 3i + 5j - 2k and B = −4i…

A: Given: A→ = 3i + 5j -2KB → = -4i + 2j +3k Find: Scalar product of the vectors A and B.

Q: 6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w.…

A:

Q: The scalar product A · B of the two vectors A = 2i + 3j and B = i - 2j is O 8 k O -4 k O 2i - 6j

A:

Q: Find the angle between the two vectors À=2î+3 ĵ +& B=-4î+2ĵ–k

A:

Q: If W = 3i – 4j and R = 2i + 4j - 3k, evaluate the vector triple product W x (W x R).

A:

Q: The scalar product of two parallel vectors is zero Oa. False O b. True

A:

Q: The given vector represents a hot air balloon that experiences a 0.25 m/s? acceleration at an angle…

A:

Q: If A = iAx + jAy + kAz and B = iBx + jBy + kBz, show that the scalar product of A.B = AxBx + AyBy +…

A: Given that A = iAx+jAy+kAzB = iBx+jBy+kBz

Q: Use the definition of scalar product, a b = ab cos 0, and the fact that a = axbx + ayby + azbą to…

A:

Q: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…

A:

Q: Find the scalar product between the vectors ? = 5?̂ + 6?̂ + 1? y ? = −3?̂ + 4?̂ − 8?. What is the…

A: Let A,B are vectors  A= 5i + 6j + k  B= -3i + 4j - 8k

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

A:

Q: Vector C has magnitude 6.50 and is at an angle of 55.0° measured counterclockwise from the +x-axis…

A:

Q: Vectors A and B are given by: A = 90.32i + 46.07j B = 4.43i + 98.29j Find the scalar product AB.

A:

Q: Two vectors a and b in Figure have equal magnitude of 20 m and the angles are e, = 30° and 02 =…

A:

Q: Find the work performed when the given force F is applied to an object, whose resultingmotion is…

A: Given:-the force is in pounds and the displacement is measured in feet.  F→=13j^d→=44i^ Find:-  the…

Q: Express the force of 5kN as a vector in terms of the unit vectors i, j, and k, and also the director…

A:

Q: Using only the dot product, find the angle θ between the two vectors A = 2i + 6j and B = -3i + 2j

A:

Q: The scalar product A B of the two vectors A = 2i + 3j and B = i– 2j is * O -4 k O 2i - 6j 8 k

A:

Q: Find the cross product of the given two vectors X-Si+6j+2k and Y=i+j*k

A:

Q: Given three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following: d)…

A: GIVEN : A =-2i+3j+4kB=3i+1j-3kC= 3i-4j+2k

Q: Consider the two vectors A = 5 î – ĵ and B = - î – 6 j.

A: As the operations in two vectors A→ =  a1i⏞ +a2j⏞ and B→ = b1i ^ + b2 6j^A→ + B →=a1+ b1 i^ + a2 +…

Q: What is the vector product of A = 2.00 i + 3.00 j+ 1.00 k and B = 1.00 i - %3D all your work. Do not…

A: Given:- Two vector  A = 2.0i+3.00j +1.00k B= 1.00i - 3.00j - 2.00k Find:- The vector product ?

Q: The vector orthogonal to 9î+ 7f and 6î+9ĵ is.k Write the magnitude only. Answer:

A: Introduction  - Orthogonal vectors are perpendicular to each other.  Given : Vector 1 →9i^+7j^…

Q: Two vectors in Cartesian coordinates have components A = (3, 1) and B = (2, y). If the scalar…

A:

Q: A) Find the scalar product of the two vectors A = 4.00î + 7.00ĵ  and B=5.00î  - 2.00ĵ , b) find the…

A:

Q: What is the scalar and vector product of A and B respectively, if A =2.2 î+3.4 ĵ B=4.4 î+2.0 ĵ

A:

Q: What is the angle between vectors A- 2i + 3j + k and B- 3i • 2j • K?

A: Given Data: The vector A is: A=2i+3j+k The vector B is: B=3i+2j+k