Consider the points P(2,7) and Q(6, 4). Write PQ as a product of its magnitude and a unit vector in the direction of PQ.

Q: Given the points P, Q, and R, how do we know that the vectors PQ (cross product) PR is perpendicular…

A: Given that there are three pints in the plain P,Q and R.The cross product between PQ and PR is…

Q: The vector equation for the line segment that joins the point P(1, 3, –2) to the point Q(2, – 1, 3)…

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Q: If å = v2i +j - k, what is the vector whose alignment a is in the opposite direction and its size…

A: Given a→=2i+j−k We have to find the vector whose alignment a→ is in the opposite direction and its…

Q: The vectors a(3;-4) and b(x; 9) are perpendicular to each other. Calculate the magnitude of the…

A: Given vectors are: a→=3,4 and b→=x,9

Q: Find the direction angle of v for each vector. v = i + √3j

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Q: nd the magnitude of the following vector. (-6, 4)

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Q: Find the magnitude and the direction of the resultant vector. (5, 11) V w (4,-3)

A: The given vectors,v→=(5,11) and w→=(4,-3)

Q: Given initial point  P1 = (−2, 1)  and terminal point  P2 = (5, 4),  write the vector v in terms…

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Q: Given |U| = 7 with 0 = 71°, find the magnitude of the horizontal and v component vectors. Round to…

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Q: For what value of t, if any, is the vector (8t, 2) parallel to the vector (4, -1) ?

A: Given vectors:A= <8t, 2> and  B= <4, -1>

Q: For the vector v = (2, 1), sketch (a) 2v, (b) −3v, and (c) 1/2 v.

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Q: Let 0 be the angle between vectors A and B, find the value of the angle 0 when -6V3A × B = 18Ã. Ē

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Q: Given the vector u = (6, - 6), find the magnitude and angle in which the vector points (measured…

A: u = (6,-6)   Magnitude of u = ||u|| = √(36+36) = 6√2

Q: given the vector, PQ, whose initial point is P(-2,-5) and whose terminal point is Q(3,4) the…

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Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

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Q: Given the vector ü = (4, 5), find the magnitude and angle in which the vector points (measured…

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Q: Given the vector u = (- 5, - 6), find the magnitude and angle in which the vector points (measured…

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Q: Write a vector equation for the line segment from P to Q. 4

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Q: Given u = and v = , sketch u - 2v and identify the direction (from standard position a.k.a. (+)…

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Q: Write the vector v in terms of i and j whose magnitude||v|| = 6, and direction angle θ = 30°.

A: It is given that magnitude||v|| = 6 and  angle θ = 30°.

Q: Let the cosine of the angle between the vectors p and q be à such that 2p + q = i + j and p + 2q =…

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Q: For what value of t,if any, is the vector (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

A: Given :4t,-1 and 4,-1

Q: Find the x-component of this vector: 47.3 m 39.4° Remember, angles are measured from the +x axis.…

A: To find:- x and y components of given vector in figure

Q: Given initial point P1 = (6, 6) and terminal point P2 = (−6, 6), write the vector v in terms…

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Q: Given initial point  P1 = (−7, 4)  and terminal point  P2 = (9, 6),  write the vector v in terms…

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Q: W =

A: By using magnitude and direction formula of vector, we calculate the required magnitude and…

Q: Given initial point  P1 = (2, 5) and terminal point P2 = (−1, 6),write the vector v in terms of i…

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Q: Q2. Find the angle between the vectors and .

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Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: we have to solve given problem:

Q: For any nonzero vector v, the unit vector that has the same direction as v is________ . To find this…

A: For any nonzero vector v, the unit vector that has the same direction as v: To find this vector,…

Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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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: Given the magnitude and direction, give the vector in component form . Round to the nearest…

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Q: Given the vector u= find |ū| and the direction of ủ.

A: We have the vector u→=-3,8. Then we have to find u→ and the direction of u→.

Q: Find the direction angles of the vector. V = -3i + 2j - 4k

A: The given vector is v=-3i+2j-4k

Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

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Q: Here is a drawing of vectors a, b, and c. 18 ć Which equation correctly describes a in terms of b…

A: Given drawing of three vectors.

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: 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: If a vector V has horizontal and vertical vector components with magnitudes  |Vx| = 9.8 and  |Vy| =…

A: Given:

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 the component form of the vector PQ, where P= (3,3) and Q = (5, - 8). The component form of PQ…

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Q: Show that the points with position vectors 3i–5j, 4¿+j, 6¿+13j are collinear. If the point whose…

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Q: Write the vector v in terms of i and j whose magnitude||v|| and direction angle θ are given.

A: Any vector can be break down into its components if we know its magnitude and its direction. The…

Q: Find the component form of the vector v  if ||v||= 5 and when drawn in the standard position v lies…

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