Express in terms of the unit vectors i,j,k the force of 150N that starts at the point (3,-5,1) and passes throught the point (-2,-3,4)

Q: Find the angle between the vectors A = −2i + j − 2k and B = 2i − 2j.

A: Now angle between the two vectors will be , cos-1a→·b→a→b→

Q: Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→,…

A: Given,  a→=1.5i⏞+5.7j⏞b→=1.4i⏞+2.2j⏞

Q: The vector orthogonal to 6? +7ĵ and 2î+6ĵ is .k Answer:

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Q: Which of the vectors is the result of P+ Q?

A: Required : Direction of the resultant vector.

Q: as shown in the B 5. A 9 magnitude zero When the ball is at location B, what is the direction of the…

A: When an object is moving in a circular path, the direction of the velocity changes as time changes.…

Q: Consider the vectors A = 6i + 3j and B = 3î - 6j.

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Q: If A=3i+7k and B= -1+2j+k. What is the angle between vectors A and B ?

A: The dot product of the two vectors can be calculated as,

Q: The vector orthogonal to 8 +7 and 8 +8 is

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Q: Two vectors are presented as a = 6.0i + 4.5j and b = 5.5î + 2.5j. Find the following. (Hint: For…

A: Given that:a→=6.0i^+4.5j^b→=5.5i^+2.5j^

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

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Q: calculate the cosine of the angle between this two vectors : A=3i+j+k B=-2i-3j-k

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Q: the vector product the vectors, Vhich one the following is correc ixj=0 ; ixk 1; kxj=0 ixi=0 ; kx k…

A: The cross product, area product, or the vector product of two vectors is a binary operation on two…

Q: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:

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Q: Given two force vectors F = -24î + 63 – 17k F, = 102 – 173 + 24k . and Fill in the blanks to make…

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Q: Find the resultant of the two vectors of A = 2.45 N, 15.5° N of E and B = 9.51 N, 38.5° E of N,…

A: Given: The magnitude of vector A is 2.45 N. The direction is 15.5 degrees North of East. The…

Q: Given the three vectors, A = 3i+2j-k, B = -6i-4j+2k and C = i-2j-k, find which two vectors are…

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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: What is the unit vector for vector M = [3.5, 4.8, -9.3] N a. [0.317, 0.435, -0.843] b. [0.435,…

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Q: Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the…

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

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

A: Given  A=2i+3j+k B=-4i+2j-k

Q: In this question the unit vectors i and j are in the directions east and north respectively. A…

A: The equations of motions can be found using:

Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

Q: The force F has a magnitude of 690 lb and acts along the line AM where M is the midpoint of the…

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Q: find the angle between the pair of vectors A=3.00i + 5.00j B=10.00i + 6.00j

A: Given data: A=3.00i + 5.00j B=10.00i + 6.00j Required: Angle between vector A and B

Q: Find the direction of the resultant of the vectors 5N and 12 N which make a nangle of 30° between…

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Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

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Q: if A⃗ =2i+3j+6kA→=2i+3j+6k and A⃗ =3i−4j+2kA→=3i−4j+2k, then the angle between the two vectors is

A:

Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: In this question the unit vectors i and j are in the directions east and north respectively. A…

A: Given, Mass m=2 kg v=(pt2-3t) i+(8t+q) j

Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

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Q: Two vectors are given by A = 3i – 23 + 4k and Ảx B. B = 6j – 2k. Ignoring units, calculate

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Q: Three vectors are given by: d = 21 – 35 + 5k, B = -2î + 7 – k and č = aî + 2ĵ – 4k. a) Find a, 2 ,…

A: We have been provided with three vectors so, we will solve them by breaking them into steps.

Q: Find two unit vectors that are orthogonal to both u=3I + 2j - 4k and v=-6I +3j + k. What is the…

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Q: Given are 4 points in space: (x,y,z) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force…

A: Given: forces F=40KN G=50 KN A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4)

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: Add the following 3 vectors together and find the magnitude of the resultant: 5.0 m E, 3.0 m N, 2.0…

A: In the given question, given that three vectors and We have to determine the magnitude of resultant…

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: Our vectors P and Q have the same amount.  How can we rearrange them so that the sum of them is…

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Q: 20.0 m at 60° and G=10.0 m at 30

A: Vector can be written in components  A= Ax  i+ Ay j

Q: Show that the vectors A = 2i-j+k, C=3i+4j + 4k form the sides of a right triangle. Bi-3j-5k

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Q: xplain categories of equilibrium? efine a dot product of two vectors A and B, here A = Axi + Avi +…

A: if net force force acting on body is zero then object is said to be in equilibrium.

Q: The vectors from the origin to the points A, B, and C are i + j, 3i + k, and 4i – 3j – 4k,…

A: We first find the vectors of the sides AB, BC and CA. Then find if any two vectors are perpendicular…

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

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Q: Given two vectors A = 2ax + 4ay 10az , B = - $ ap + ap - 3az, and point P(0,2, - 5 ) The angle…

A: Given two vectors A-2ax +4ay +10az and B-5 ap+ad-3az, and point p -(0,2,-5) The angle between A and…

Q: The chandelier is supported by four chains which are concurrent at point O. If the force in each…

A: Given,

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