a. v.u. v]. Ju| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v

Q: Determine the measure of the angle in radians between the planes. 4x - 5y + 5z = -6 y -6x - 9y + 3z…

A: Let, A1x+B1y+C1z+D1=0 and A2x+B2y+C2z=0 be the equation of two plane. Then the angle between two…

Q: Let a⃗ =i⃗ −6j⃗  and b⃗ =3i⃗ −2j⃗ . Use the dot product to determine if the angle between the two…

A:

Q: True or False || u * v || = || u || || v || cos θ, where θ is the angle between u and v.

A: Given that - u*v = uvcosθ

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: (A) Find the vector that is Normal to: A = 2i + 3j +k and such that it is lies in the plane…

A:

Q: Find the dot product v*w and the angle between v and w. v = 3i - 4j + k, w = 6i - 8j + 2k

A: Find the dot product  v·w.

Q: Find the angle θ between the vectors a=5i−j−4k and b=2i+j−4k. Answer (in radians)

A:

Q: Find the angle θ between the vectors (a) in radians and (b) in degrees.

A:

Q: If θ is the angle between two nonzero vectors u and v, then cos θ = ________.

A: If θ is the angle between two nonzero vectors u and v, then    cos (θ) = (u.v)/(||u|| ||v||)

Q: Find the angle between the vectors a = 10i – j – 5k - and b = 2i+j – 4k. Answer (in radians): 0 =

A:

Q: Find the angle between u and v, also find the scalar component of u in the direction of v and the…

A: The solution to the given question is given below

Q: Let y be the vectors:     Determine      1) The length of v   2) The value of u*v   3) The…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when

A:

Q: Find the dot product v · w. 1) v = i +3j, w = 5i - j 2) v = 5i - 2j, w=i-j Find the angle between v…

A:

Q: Find the angle between u and v, also find the scalar component of u in the direction of v and the…

A:

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 3j + k v = 3i – 6j

A:

Q: Find the angle between u = i - 2j - 2k and v = 6i + 3j + 2k.

A:

Q: The angle 0, 0 SOST, between two nonzero vectors u and v can be found using which of the following…

A: Answer:(d) cos θ=u.v|u||v|

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

A:

Q: Let u = and J =. (a) Find the angle between i and i (b) Find a unit vector perpendicular to both i…

A:

Q: Find the component of the force 5i+7j-k in the direction of the displacement PQ, where P(3,0,1) and…

A: The given force is

Q: snip

A: Given the unit vectors v, w  we have to prove :- cosα-β = cos α cosβ+sin α sin β α = the angle…

Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

A:

Q: Find the dot product v*w and the angle between v and w. v = i + j, w =i + j - k

A: Given: v=i+jw=i+j-k To Find: The dot product of vector v and w and the angle between v and w.

Q: Find the angle between u and v, also find the scalar component of u in the direction of v and the…

A: Magnitude of a Vector: The magnitude of a given vector is denoted by and defined by Scalar Product…

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: Let a = 3i – 6j + 4k and b = 2i + j – 2k. a Find c, the vector component of a perpendicular to b. b…

A: Given, a=3i-6j+4k and b=2i+j-2k

Q: Find the dot product v*w and the angle between v and w. v = i - 3j, w = - i + j

A: Given: v=i-3jw=-i+j……1

Q: Answer either A or B. A) Let V = 21 + 3j – k and W = -i - 5j – 6k, then find cos 0, where 0 is the…

A: Vector problem....

Q: Let i = 37 – 12j + k and y = 12i + 3j + 4k be the two vectors. %3D Find the angle (in radians)…

A: We can compute using cosine of angl

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

A:

Q: Find the magnitude and direction angle for the vector v = 2i - 6j to correctly write v in…

A: For a given vector v=a i+b j  The magnitude is given by  v=a2+b2 THe direction is given by…

Q: A ship travels N36°E for 500 nautical miles. In component form, which vector represents this…

A: Given ship travels: North 36degree East for 500 nautical miles

Q: Find the direct and opposite plane motions that map AB to ÁC where these three oints have the…

A:

Q: The position vectors of A and B with respect to the origin O are a and b respectively. M is the…

A:

Q: Find the angle between AtZB and B+.A ?where F= i+2j-3K and B = 3i-j + 2K Parallel to

A:

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: Find the angle between the vectors u = 3i + 4j, v = −2j + 3k (a) in radians and (b) in degrees.

A: Our Aim is to find the angle between the vectors given below:- u=3i⇀+4j⇀ and v=-2i⇀+3k⇀(a) in…

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 dot product v•w and the angle between v and w. v=i-k, w=i-j+k

A: here we have to find the dot product and angle between given vectors. the solutions is following.

Q: Drag the blue point to a location on the coordinate plane so that the vector v (shown below in blue…

A: Given: Magnitude is 17 and the direction is 28.07° The main objective is to find the vector r→…

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

A:

Q: Find the angle e between the vectors. u = (0, 0, 1, 0), v = (3, 3, 3, 3) radians

A:

Q: Let A = -4i – 2j + 4k and B=6i – 3j. (a) Compute cos 0, where is the angle between A and B. (b) Find…

A: We have to find

Q: Find the unit vector in the same direction as v = 5i - 12j. Then verify that thevector has magnitude…

A: Unit vector in same direction vectorvector's magnitude

Q: If v · w is negative, what does this say about the angle between v and w? Draw a 3-dimensional…

A: we have been given that v.w is negative which means v · w < 0 which means the angle between v and…

Q: Q:: Find the area of parallelogram whose sides are a = 2i – 4j + 5k and b = i – 2j – 3k. Also find…

A:

Q: Find the dot product v ~ w and the angle between v and w: v = -2i + j, w = 4i - 3j.

A: If v=ai+bj and w=ci+dj are two vectors, then their dot product is given by: v·w=a×c+b×d And,…