2. Use the Pythagorean theorem to find the resultant magnitude for the following vectors. Show the vector addition, the resultant and the work using the Pythagorean theorem (you move at 3 m/s directly north, then at 5 m/s directly west).

Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 14i V=-7i

A: To find Angle between two vector a→,b→ we use, cos α =  a→·b→|a→|·|b→|

Q: The magnitude of u + v is (Round to the nearest tenth as needed.) with u. The resultant vector u +v…

A:

Q: and notm ind the unit vector of V= 31 +5j -9k.

A: Given: v=3i+5j-9k To find: Unit vector of v Norm of v

Q: When analyzing the vectorĀ = 2i – j + 3k To the sum two vectors, the first is parallel to the vector…

A:

Q: given two vectors v m which are perpendicular. under which condition is V+W perpendicular to V-W?

A: Since vectors v and w are perpendicular so, their dot product is 0

Q: Find the angle between the diagonals of a parallelogram constructed on the vectors a=2 i +j and b=-2…

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: If the projections of vector a on x,y and z −axes are 2,1,2 units respectively, find the angle at…

A:

Q: Consider the vector v = (x, 2) in R2. If you rotate the vector by 90-degrees counter-clockwise, then…

A:

Q: Find the given vector : Vector of length 3 in the direction of v = 4i + 3j

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: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

A:

Q: Find the angle u between the given vectors to the nearest tenth of a degree.    U= 13i, V = 26j

A: Consider the given: U=13iV=26jU⋅V=13i⋅26j=130+026=0

Q: Find the magnitude of the vector and the angle 6,0° <0<360°, that the vector makes with the positive…

A:

Q: The unit vector perpendicular to the vectors n1= i-j+3k ,n2=2i+j+3k is a vector?

A:

Q: Find the positive value of m that makes the angle between the vectors equal to 5 a = i +j+k b = mi –…

A: Given that, a⇀=i^+j^+k^ b⇀=mi^-k^ Then we get, a⇀·b⇀=i^+j^+k^·mi^-k^a⇀·b⇀=m+0-1=m-1 Moreover we get,…

Q: Find the vector v of length 6 that has the same direction as the unit vector (1/2, V3/2).

A: Consider the following values: magnitude=6unit vector=12i^+32j^

Q: Given that a =-i+j+k, b3D2i+j-4k and c= 3i-5j+k, find a vector in the direction as (-a+3b-c) and has…

A:

Q: Given the vector u 2i + 1j, find the - magnitude and angle in which the vector points (measured…

A:

Q: Suppose that the magnitude of vector u = 5 and the magnitude of vector v=7 and the dot product of u…

A:

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 15i – 6j, V = 4i +…

A: Given, Vector U = 15i -6j        U = 152 +(-6)2 = 225+36 = 261 = 16.2 Vector V = 4i +13j         V =…

Q: Given the following vectors acting on an object, at what angle and magnitude must a force by applied…

A: Solve by geometry method, the forces are F1 =1200 pound and F2=3100 pound. The angle between them is…

Q: The vector u has length 10 and points at an angle of 15∘ The vector v has length 18 and points at an…

A:

Q: 24. Find v x w, where v and w are vectors of length 3 in the xz-plane, oriented as in Figure 16, and…

A: The vectors v and w are in the x-z plane. The cross product of both vectors will yield a vector…

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: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

A:

Q: What is the angle e between the vectors u= and v= in R* ? (Express the answer to the nearest…

A: B

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

A:

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u = i - j, v = 3i…

A: Here we will find the angle between given vectors,

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: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

A:

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 8i +…

A: We have to find angle

Q: If a and b are vectors with the same initial point and angle between them, prove that||a - b||2 =…

A: Consider the given expression as, a-b2

Q: The angle between the unit vectors a and b is 0. By expanding the scalar product, show that (3a –…

A:

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: Given the following vector quantities: A = (50, 30, 20) N and B = (30, 20, 30) N, determine;   The…

A: To find the magnitude and direction with respect to each axis of the vector product

Q: Find the value of a so that vectors U = ai + 6j and V 5= 9i + 12j are perpen dicular.

A: Our Aim is to find the value of a so that the vectors U=ai^+6j^ and V=9i^+12j^ are perpendicular.

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: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

A:

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

A: Solution:-

Q: -) THREE VECTORS A, B, AND C ARE RELATED AS FOLLOWS ! A AT 180°, A +C =-5+j15, 2 C = CONJU GATE OF…

A: Solution :-

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 angle 0 between the given vectors to the nearest tenth of a degree. U = 16i- 8j V = 3i+11j…

A:

Q: and D. Find the values of x such that the angle between the vectors is 90".

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: Assuming vector B is 12 units long, vector 4B is:

A:

Q: Show that LM = 2AB.

A: