Define the points P(0,0) and Q(6,2). For the vector PQ, do the following. a. Sketch the vector in an xy-coordinate system. b. Compute the magnitude of the vector.

Q: The direction of vector 6i – 6j is

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

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

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

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

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Q: Find the unit vector that has the same direction as the vector v = 6i.

A: For the vector ai∧+bj∧unit vector is given by ai∧+bj∧a2+b2

Q: Verify that 2j+k is perpendicular to the plane I7, Find a vector perpendicular to the plane II, Find…

A: Given that the plane Π2 contains the point O, A and B and the plane Π3 contains the points O, A and…

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: Given the vector u (5, – 2), find the magnitude and - angle in which the vector points (measured…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

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: For what value of t , if any, is the vector (8t, 2) parallel to the vector (4, -1) ? 1 O A. t=- 4 В.…

A: Now we will find the value of t .

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

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Q: Find the length of the curve with the given vector equation. r(t) = 2t 4 1 + 11t j+ 10t 4 k, -1 sts…

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Q: 5. For the vector OP = (1,4,-2), determine the direction cosine and the corresponding direction…

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Q: Find the unit vector that has the same direction as the vector v. 31

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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: Given a vector à = 3a, + 2a, – 6as , determine the vector component of à tangential to the cone. O…

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Q: Find the vector v with v= 6 and direction 0 =150°.

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

A: Given points are P(2, 7) and Q(6, 4).

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the unit vector that has the same direction as the vector v. v = 8i – 6j

A: To find the unit vector we divide the given vector by its magnitude where resultant vector is unit…

Q: Given the points P1 (5, 4, 3), P2(1, 5, –2) and P3(10, –2, 5). Find the vector that is orthogonal…

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Q: Consider the graph provided find the length of the vectors u and i

A: Solution and Explanation is given below....

Q: Q=45 60° Find the EXACT components of the vector above using the angle shown.

A: To find the exact components of vector

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

A: G

Q: W =

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

Q: Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as V

A: Given vector v=-4i+3j. To find: A vector  that is half the length and points in the same direction…

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: Consider the following three vectors, described here by their lengths and angles with respect to the…

A: The diagram below represents the vectors A→,B→, and C→ on the cartesian plane  (a) Consider the…

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

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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: Given the vector component of D(2, – 6, - 5) and G(1,2,3), find the vector of D that is parallel to…

A: Given vectors D(2, -6, -5) and G(1, 2, 3) We need to find the vector of D that is parallel to G

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: For what value of t, if any, is the vector t, -1 parallel to the vector (4, - 1) ? OAt=- 16 OB. t =…

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Q: Define the points ​Q(−3​,3​) and R(−27​,13​). Carry out the following calculation.   Find the unit…

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Q: Given the points P(4, 4, 3), P(1, 4,0) and P3(10,0, 2). Find the vector that is orthogonal…

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

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

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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: w, and z head to tail as needed to sketch the indicated vector. 3 w

A: NOTE: Refresh your page if you can't see any equations. . here the height of the triangle is x=4…

Q: Given the vector ü = (2, – 5), find the magnitude and angle in which the vector points (measured…

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Q: Given the following points, determine the vector equation defined by having point A as initial point…

A: RCS- Rectilinear Co-ordinate System CCS-Cylindrical Co-ordinate System SCS- Spherical Co-ordinate…

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: Given the vectors M = -10ax+4a, – 8a, and N= 8ax+ 7a, – 2a-, find: (a) a unit vector in the…

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Q: / Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as v

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

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