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: find the given vector  Unit vector ew where w = (24, 7)

A: Given: w=24,7

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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: If a = i+ 2j +k and b = i+10j + k, find a unit vector with positive first coordinate orthogonal to…

A: The vectors are given as , a→=i^+2j^+k^ and b→=i^+10j^+k^ find a unit vector with positive first…

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: If a = i+ 4j + k and b =i+ 8j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: Let v =. Find the unit vector in the opposite direction of v.

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Q: Determine the angles made by the vector V = (-59)i + (11) j with the positive y-axis. 169.44° O…

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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: sketch the coordinate axes and then include thevectors u, v, and u * v as vectors starting at the…

A: Given Data The first vector is u=i-k. The second vector is v=j+k.   The expression for the cross…

Q: Find the angle between the vectors u = 2i +j+9k, v = 6i – 12j and sketch the vectors and the angle…

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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 that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

Q: Find the value of z of vector A= 3i +3j+ zk if ß = 59.04° and y = 46.686° %3D

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Q: Find the vector that makes equal acute angles with the positive coordinate axes and has length 2. O…

A: An acute angle is an angle that measure is less than a right angle (90 degrees). The magnitude of a…

Q: Use the vectors v=-2i+j and w=4i+3j to find: v + w

A: v=-2i+j and w=4i+3j

Q: Let b = i + j − k. Find (algebraically) the unit vector in the direction opposite to b.

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Q: Let a and y 6 Find the vectors v = 5x, u = x + ÿ, and w 5a + %3D || ||

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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 the pair of vectors, find U•V. U = 4i+j V= 3i-j O 8 O 12 O 13 O 1 O 7

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Q: Find the median AD of the triangle ABC where positive vectors of the vertices A, B and C are…

A: Vertices of the Triangle ABC given A=i+j,B=4i+6j,C=i-j; Hence, We can take these vectors as the…

Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

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

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

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

A: The given data is: v→=8i+10jw→=7i-j  To find the direction of the resultant vector.

Q: If a = i+5j + k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

A: We have to find

Q: find the compoment form of vector v given ||v|| = 13 and the angle with positive axis is theta=300…

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Q: Show that each pair of vectors is perpendicular.    i + j and i - j

A: Given: u=i+j ,v=i-j

Q: Find the unit vector having the same direction as V. V = -36i + 36j -18k j k

A: As per guideline we have solve one question

Q: Express the following vector as a product of its length and direction: v = 4i + 8j – 16k -

A: Given vector is v→=4i+8j−16k. We have to express the given vector as a product of its length and…

Q: If a = i+ 10j + k and b = i+ 11j+ k, find a unit vector with positive first coordinate orthogonal to…

A: Vector cross product of given two vector  is orthogonal to two given vector

Q: Express the following vectors in Cartesian (component) form. a) f has magnitude 20 and direction…

A: Solution:-

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of v = 5i + 3j − k

A: Solution:- The given vector is  v→=5i+3j-k we have to find a unit vector in the direction of  a)…

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

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

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Q: Find a vector w that bisects the smaller of the two angles formed by 15 i + 8 j and 40 i – 9 j. w =

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

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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 vectoy whose magnitude is hand which is in the divection of the vector 4i-3;+h

A: Let the vector be 4i-3j+xk

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: / 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: Let r (t) = |r (t)| = ( the length of the vector is round to one decimal

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Q: If a = i+ 4j + k and b = i + 8j + k, find a unit vector with positive first coordinate orthogonal to…

A: Given : a=i+4j+k and b=i+8j+k.