the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. F = −5i + 13j, d = 4i + 55j

Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j = n

A: Topic = Vector

Q: The direction of vector 6i – 6j is

A: The direction of a vector is given by the formula

Q: Find the vector component of y = 2i – j+ 3k along b = 2i + 6j + 9k and the vector component of v…

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Q: Write the vector a=i−4j as the sum of a vector parallel to b=j+k, and a vector perpendicular to b.

A: Express vector a as sum of two vectors one is parallel to vector b and one is perpendicular to b.…

Q: Find a unit vector in the direction of v. v = 12i - 35j

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Q: Find the vector component of v = 2i –j+ 3k along b = 4i + 8j + 8k and the vector component of v…

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Q: Find the vector component of v = 2i – j+ 3k along b = i + 4j + 8k and the vector component of v…

A: Vector

Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

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Q: Find the unit vector in the direction of v. v = -6.9i + 2.5j U =

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Q: (c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

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Q: a) Let a = 2i – 3j + xk and b = -3i + j + xk. Find the values of x for which vectors a and b are at…

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Q: Find a unit vector in the direction of w=-3i+4j. Express your answer in terms of i and j, using only…

A: We have to find the unit vector.

Q: Q3/B/ For what value of 2, the vectors 2i - j+ 2k and 3i + 22j are perpendicular?

A: We can use the concept of perpendicular vector their dot product is zero.

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

A: We have to find the work performed by the given force applied to an object: F=19j, d=11i We know…

Q: Rearrange the formula to make v the subject. V - u t = a %3D V =

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Q: find a unit vector in the direction of v. v = −8i + 15j

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Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the opposite direction of w.

A: Given vectors are v=-2i+j , w=4i+3j

Q: Find the vector component of v = 2i -j+ 3k along b =i+ 4j + 8k and the vector component of V…

A: Formula:vector component of A along B:A cosθ B^ =(A→·B^) B^ B^ =B→B→ v=2i-j+3kb=i+4j+8kb^…

Q: Find the unit vector in the same direction as v. v = 5i

A: Given, v=5i   The objective is to find the unit vector in the same direction as v.   The formula for…

Q: Find the unit vector in the same direction as v. v =2 i - j + k

A: A unit vector is a vector whose magnitude is one. That is a vector, ai+bj+ck is a unit vector if…

Q: Find the unit vector in the direction of v. v = -6.7i + 3.7j

A: Given v=-6.7i+3.7j u^=vvv=v,v=x2+y2

Q: Find the vector component of v = 2i – j + 3k along b = 2i + 3j + 6k and the vector component of V…

A: Given : v=2i-j+3kb=2i+3j+6k   To Find : a) vector component of v along bb)vector component of v…

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

A: Given the force and displacement vector: F=55i-10jd=70i+15j

Q: of c. Calculate the angle made with the positive direction x-axis by the vector (a) v= 3₁ + 4j (b)…

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Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of V…

A: Given that v→=2i-j+3k                   b→=i+4j+8k  Now the vector component of v along  b is given…

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

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Q: Find a unit vector in the direction of w =-11i+60j. Express your answer in terms of i and j, using…

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Q: B) Find the angle between the vectors V, = i - k, V = 2i – j+ k

A: The given vectors are v1⇀=i-k and v2⇀=2i-j+k

Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the same direction as v.

A: A vector is a quantity that has both direction and magnitude and a unit vector is a vector that has…

Q: A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).…

A: We have given The initial velocity v0 = 50i+ 80k and the acceleration vector a = −4j − 32k.

Q: A 4550kg aircraft generates a mid-flight thrust given by the vector F; 2j + 3.8k kN. It is…

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Q: Find the vector component of y = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v…

A: The vector component of  v along b is the projection of vector v onto b is projbv = v.bb2b . The…

Q: find the component form of the vector. The vector 2 units long in the direction 4i - j

A: Given vector is u = 4i – j. So, the unit vector in the direction of the given vector is

Q: Q3/A/ If ā = i – 2j + k , Find: i) (ā x b). (ā x c) ii) (ā × 5) × (ā x c) tho vectors 2i - i+ 2k and…

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Q: Find the vector component of v = 2i – j + 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

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Q: Find the unit vector in the same direction as v. v= 4i -j

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Q: Find the vector -4u + 2v given the vectors u = 6i +j and v= 3i- 8j. Write your answer in the form a…

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Q: Find the unit vector in the same direction as v. v 8i-j u =

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Q: Find  the vector in the same direction as  i + j  whose component in the   direction of  2i-2k  is…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: Recall: Horizontal Component, a=v cos θ Vertical component, b=v sin θ Vector=ai+bj we have, |v|=5,…

Q: Find the angle a between the vectors 日- 2 and a =

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

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Q: Write the vector v = (Vị, v½) in terms of the unit vectors i and j.

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Q: For v= 3i+j and w= 8i-6j , find. a) 4v-2w b) the unit vector in the same direction as w

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Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Find a unit vector in the direction of v = –i – 2j.

A: THE SOLUTION IS GIVEN BELOW

Q: For the given vectors below, Solve for Vector č = (Ã+ B) × (÷ (B × Â)) %3D A = 3i+2j - 6k B = 31 -…

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