The vector from the origin to point A is given as 6ax – 2a, – 4az, and the unit vector directed from the origin toward point B is (, –,). If points A and B are 10 units apart, find the coordinates of point B. - - -

Q: The vector from the origin to point A is given as (-2, 3, 5) and the unit vector directed from the…

A: A = (-2, 3, 5)  Thus, position vector of A,  a =  -2ax + 3ay + 5az   UB  =  0.535ax + 0.802ay -…

Q: Find the following vector.   The vector in the direction of (24,10) with length 4

A:

Q: 4. Find a unit vector that is perpendicular to (5,6).

A:

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

Q: Given the points P(-3, 4) and Q(-1, 5), express the vector PQ in terms of i and j.

A:

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i + j, v = i + 2j - k

A: Now,

Q: Write the following vector as a linear combination of the unit vectors i and j. (-4,Radical 2)

A: We need to the following vector as a linear combination of the unit vectors i and j

Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

Q: The vector with length 4 and direction k is Di+Di+ j+ k.

A:

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i - 2j + k, v = 3i +…

A:

Q: find the given vector  Vector v of length 2 making an angle of 30◦ with the x-axis

A: To find: the vector v of length 2 making an angle of 30◦ with the x-axis

Q: Find the angle between the vectors, and

A:

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: The vector from the origin to point A is given as 6a, – 2a, - 4a., and the unit vector directed from…

A: Vector A is <6,-2,-4> Let Vector B i s <23B,-23B,13B> The distance between A  and B  are…

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

A:

Q: In the figure, a vector a→ with a magnitude of 24.1 m is directed at angle θ = 68o counterclockwise…

A: Given that: Magnitude of a→ =24.1mAngle of a→ w.r.t. coordinate axes: θ=68°Angle of primed…

Q: α, β and γ are the angles made by the vector with x, y and z axis respectively. The squares of the…

A: Given ,  α, β and γ are the angles made by the vector with x, y and z axisrespectively. We have to…

Q: Consider the points P(2, −1, 0), Q(5, 0, 0), and R(3, 1, √5). Find the coordinates of the vector QS…

A:

Q: Find vector u with the magnitude given that satisfies the given conditions. v (7, -1, 3), ||u || -…

A:

Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

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

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

A:

Q: Let b be the vector of length 35 that when drawn in standard position makes a 290° angle with the…

A: Given : length of vector b=35 ⇒b=35 Also, b makes angle 290° with positive x axis. So, b=b1i+b2j,…

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 given vector : Unit vector e making an angle of 4π/7 with the x-axis

A:

Q: Find the direction cosines of the vector v = 2i−4j + 4k, and approximate the direction angles to the…

A: `The given vector is v=2i-4j+4k

Q: The vector from the origin to point A is given as (-2, -4, 5) and the unit vector directed from the…

A:

Q: If A=(rsinOcosð,-cos2OsinD, tan, Inr) at P(7,0.08 rad,4.66 rad), determine the vector component of A…

A: Given:

Q: The vector from the origin to point A is given as 6a, – 2a, – 4a., and the unit vector directed from…

A: The vector from the origin to point A is 6ax-2ay-4az Therefore, vector A is A→=6,-2,-4 Now, the unit…

Q: For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

A:

Q: Which of the following vectors are parallel :

A: Two vectors are parallel if one can written as linear combination of other.  As showing in the hand…

Q: latél Show that if a is perpendicular to each of the vectors and then a is perpendicular to 26 +4

A: The detail solution is given below

Q: 2. If å and b are two vectors with lengths 2 and 5 and angles between 150°, respectively, obtain the…

A:

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

A:

Q: A plane with an airspeed of 450 miles per hour is flying in the direction N35°W.A vector is…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The vector i has length 11 and points at an angle of 15 The vector j has length 18 and points at an…

A:

Q: a) Find the vector that is parallel to the tanget to the circle x2 + y2 = 100 at the point (3,-4).…

A: a) Given equation of circle, x2 + y2 = 100. We have to find the vector equation which is parallel to…

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = √3i - 7j, v = √3i + j -…

A: Given:u=3i-7jv=3i+j-2kAngle:cosθ=u→.v→u→.v→

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: Suppose that u and v are vectors in R' both of length 2V2 v is also? v2. Thenllu + v|| and that the…

A:

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

A: Given: X(1, -2, 1) and Y(0, 3, -2).

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: What is the unit-vector notation for each of the following vectors, all with magnitudes of 33.5? (a)…

A:

Q: The vector u has length 11 and points at an angle of 20° The vector v has length 18 and points at an…

A:

Q: Given a vector v with initial point P(5,12) and terminal point Q(−2,−12), write the vector in terms…

A: vector with initial p1,p2 and                 terminal (q1,q2)is given by v=<q1-p1,q2-p2>

Q: Find the vector v that has magnitude 3 and makes the angle θ=1/4π with the positive x-axis.

A: Given: |v|=3 θ=1/4π

Q: 2. Find the angle between the following two vectors. and

A:

Q: Suppose vectors u and v lie in the xy-plane (the z-component of each vector is zero). Now suppose…

A:

Q: Suppose that |u| = 6 and |v| = 9, and that u times v = -37. Find the angle θ between the vectors u…

A: Vector Question