Find the direction of the resultant vector. (8, 10) V (7,-1) W [?]° 1>13

Q: Find the horizontal and vertical components of the vector v that has magnitude |v|=2 and direction…

A: Given, magntude of the vector =v =  2 and direction  β (angle with the +x axis)=45o  We have to find…

Q: Fn DIA E W E 8 R Find the unit vector that has the direction as the Vector V. V = 41 - 2 j same

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Q: Use the properties of vectors to solve the following equations for the unknown vector x = (a, b).…

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Q: 6) Find the x- and y-components of the vector ở with magnitude |ū] = 16.4 cm/s², and direction 0 =…

A: Here, magnitude is 16.4 Direction is 156.5°

Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: 4. Write the vector equation for a line parallel to the line L: F = (1,-7)+t(2, -3), t € R…

A: Introduction: In three-dimensional geometry, a line can also be described through a vector equation,…

Q: Find the distance of point A(23.2) from the line that passes through the origin and parallel to the…

A: given point A 23 ,2 and line passes through orgin and parallel to the vector v =<1,3>

Q: The surface of a hill is modeled by z = 100 – 3x? – 4y². When a group of hikers reach the point (1,…

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Q: Q2: Find the vector and unit vector (u) in the direction of the vector P2 = (-3,0, 6) to P, = (4, 6,…

A: Let us consider the vector P=(a,b,c) and Q=x,y,z. The vector in the direction of P to Q is obtained…

Q: Find a vector equation for the line segment from (2, -4, 6) to (5, 5, 5). (Use the parameter t.)…

A: a→=2i-4j+6kb→=5i+5j+5kn→=b→-a→=3i+9j-k

Q: 16. Which is the magnitude of the vector with an initial point (-3, -2) and terminal point (5, -8)?…

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Q: Find the distance of point A(2-3,2) from the line that passes through the origin and parallel to the…

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Q: The vector a has a magnitude of 7. Its x component is 2, and its y component is twice its z…

A: Given: The vector 'a' has a magnitude of 7. Its x component is 2, and its y component is twice its z…

Q: Find a vector equation with parameter t for the line through the point (7,0, –7) and parallel to the…

A: We have to find a vector equation with parameter t.

Q: point for the vect

A: What point is the endpoint for the vector corresponding to T(x)?

Q: 1. Give the vector equation of a line perpendicular to the line L: x= 21-1, y=-31, 1 e R. Are there…

A: Given line: l:x=2t-1, y=-3t, t∈ℝ To find the other line The vector equation of the line is…

Q: c) Find a vector, AB , with magnitude 4 in the direction of PQ where P and Q have coordinate (5,0,8)…

A: Find a vector, AB, with magnitude 4 in the direction of PQ where P and Q have coordinate (5, 0,8)…

Q: Find a vector equation for the line segment from (2, -4, 5) to (6, 4, 4). (Use the parameter t.)…

A: Explanation of the solution is given below...

Q: Find a vector equation of the line passing through the points P(-2, 1, 3) and Q(3, 0, -2). 1+t ,te…

A: The vector equation of the line passing through the points A(x1,y1,z1) and B(x2,y2,z2)  is given by;…

Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: Find the horizontal component of the vector if |V|= 4 and theta =50°

A: given |V|= 4 θ=50° horizontal component =|V|×Cosθ

Q: A pilot is heading his plane N 76°W at an airspeed of 950km/h, while wind is blowing in the…

A: Given: A pilot is heading his plane N 76 degree W at an airspeed of 950 km/hr, while wind is blowing…

Q: B) find a vector that is parallel to the line whose equation is : 4-x 3-6z % = 3 – 3y = 5 9

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Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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Q: 8. Find the magnitude and direction angle of the vector u = (-5,-2).

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Q: (c) Same direction as the vector from the point A(-1,0,4) to the point B(4,3, 3). 1 i + 2 w = k - 6.

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Q: ii. the unit vector in the direction of BC.

A: In this question we have to find the unit vector of in the direction BC

Q: The path of a particle is moving in the plane with position vector . What is the speed of the…

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: The vector a has a magnitude of 7. Its x component is 2, and its y component is twice its z…

A: Given vector has magnitude is 7 , x component is 2 and y component is twice its z component. Let z…

Q: Find the equation of line passing through point P(1, –1, 2) , the direction of the line is parallel…

A: The line passes through the pointP→ = i-j+2kThe line parallel to the lineV→ = i-2i+kThe vector…

Q: 2 -2 The distance between the vectors u= and V = 1 is: 2

A: Concept:

Q: Find a vector equation with parameter ?t for the line through the point (8,0,−5) and parallel to the…

A: Given,           The line through the point (8,0,−5) and parallel to the vector 2i−3j+3k

Q: c) Find a vector, AB , with magnitude 4 in the direction of PQ where P and Q have coordinate (5,0,8)…

A: Given that P and Q have coordinate (5, 0, 8) and (3, 3, 2) respectively.

Q: et u = (4, 2), v = (1, 3), and w = (0,-2). Find the vector T that satisfies 10u - 0+ = 47 + w. In…

A: We have to find x

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: y =-x (b) Use it to project the vector v =

A: Given

Q: b. A tennis ball is served horizontally from 2.4 m above the ground at 26m/s. The net is 11.5m away…

A:

Q: Find two vectors parallel to v of the given length. v = (24, - 18, 0); length = 15 The vector in the…

A: The given vector is: v=24,-18,0 Now, the unit vector in the direction of v is:…

Q: Find an equation for the line through P(11,10) parallel to vector v=2i-3j

A: Given point on the line is P(11,10) The vector parallel to the line is,v=2i-3j

Q: Q2: Find the vector and unit vector (u) in the direction of the vector P2 (-3,0,6) to P1 = (4, 6, –…

A: We have to find the vector and the unit vector(u) in the direction of the vector P2=(-3, 0, 6) to…

Q: A position vector of body x =ti +t²j- 2t k , if the distance in meter and time in sec, 1) find the…

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Q: Q.3 For what value of m, the vector 4i + 2j - 3k and mi - j+ 3 k have same magnitude?

A: The magnitude of a vector is the distance of the point whose coordinate is represented by the given…

Q: You have two vectors: Ā = 7 ĵ B = 9 ĵ What is the y-component of the vector A+ B ?

A: let r=xi+yj+zk then x component of vector is i y component of vector is j z component of vector is k…

Q: Find the component form of vector v given its magnitude is ||v|| = 5 and the angle it makes with the…

A: Given that the magnitude=||v||=5 and angle=θ=60°. So the component form is given by:…

Q: Find the distance of point A(2/3,2) from the line that passes through the origin and parallel to the…

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Q: Determine a vector equation of the line passing through (6, 0, 3) and parallel to the line of…

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Q: Qe A Find the Vector 5 unit length in the direction of vector perpendicular to the lane which passes…

A: We have to find the normal vector first.

Q: Find the vector equation of a line L going through the point P = (-5, -6) and parallel to the line…

A: The vector equation of line is

Q: Q.2 Find the vector whose magnitude is 5 and which is in the direction of the vector 4i – 3j + k.

A: Vector whose magnitude 5