Evaluate - fr. ds over the unit cube defined by the point (0, 0, 0) and the unit intercepts on the positive x-, y-, and z-axes. Note: 7 is the position vector.

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

A: Given:-A vector passes through the origin & the point (1,1,1) A→=2i+2j-k and B→=i+j To Find:-The…

Q: What is the magnitude and direction of the vector v = ? (answers to the nearest tenth) %3D

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: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

A:

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

A:

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: Given the vector ū = (– 2, 6), find the magnitude and angle in which the vector points (measured…

A: u→=-22+62=4+36=40=210 We know the formula for θ is  θ=tan-1yx Then,…

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: Find a unit vector in the same direction as the given vector. C = 15i – j

A: I have Provided this answer in step-2.

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

A:

Q: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

A: Given : v⇀=20 @85°radius r=20angle θ=85 To convert it into rectangular coordinates we use formula…

Q: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

A: The given vector is 5,2

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

A:

Q: find the component form of the vector. The unit vector that makes an angle u = 2π/3 with the…

A: Given vector is unit vector. So, magnitude v=1 Angle made by vector with positive x-axis is u=2π3

Q: ind a unit vector perpendicular to

A:

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

A:

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

A: Given vectorv=8i^-6j^

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: Let x→=2i→−12j→+k→ and y→=12i→+2j→+3k→ be the two vectors. Find the angle (in radians) between the…

A: Given two vectors are To find angle between given two vectors.

Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

Q: Find a unit vector that has the same direction as the vector 87 – j + 4k.

A: Find a unit vector that has same direction as the vector 8i- j+ k.

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: Find a unit vector that has the same direction as  4i − j + 8k.

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

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

A:

Q: Assume vector V is in standard position, has the given magnitude, and that u is the angle Vmakes…

A: Given: Magnitude |V|=8.5 Angle θ=97°

Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: Find the horizontal and vertical components for a vector having a magnitude of 15 and a direction of…

A: Ans = (13.0,7.5) I have done solution in detail....go through the sulution

Q: find the magnitude and angle in which the vector points (measured ive x-axis, 0 < 0 < 2n)

A:

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

A: Solution:-

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: 1. Find the angle that the vector V = makes with the positive x axis.

A:

Q: Assume vector V is in standard position, has the given magnitude, and that u is the angle Vmakes…

A: The vector representation of of vector v with magnitude |v| and the angle θ, made by v with positive…

Q: Find the angle between the vector 3î +4 and the x axis 53.1 O 60.0 37.1 O 45.0 O 90.0 O

A:

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: Find a vector v whose magnitude is 6 and whose component in tho i direction is twico the component…

A:

Q: Find two unit vectors that are perpendicular to both j + 5k and i − 4j + 3k. (Enter your…

A:

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

A:

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

A:

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

A:

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

A: