The angle 0 between the vectors u and v satisfies cos 0 So if u and v are perpendicular, then u'v = If u = (4, 5, 6) and v = (3,0, –2) then so u and v are . u'v

Q: Find the two values of t that would make the angle between vectors ⟨1, −2, 0⟩ and ⟨0, −1, t⟩ equal…

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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: The vectors x and y are each of length 3 units (ie. |x| = |y| = 3)). If |x+y| = square root 17, then…

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Q: Find the vector with length 3 making an angle of 7π/4 with the positive x-axis.

A: Given that the vector with length of 3 makes an angle of 7π/4 with the positive x-axis.

Q: Find (u+v).(2u-v) given that u.u=4, u.v=-5 and v.v=10 Determine if u and v are orthogonal…

A: Given, u·u=4, u·v=-5, v·v=10

Q: Three vectors are defined by position vectors defined ā= 3i – 5j- 6k, b= -4i – 2j+ 7k and č = xi-…

A: Here assume that, (x,y,z)=(2,4,6)

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 θ between the two vectors.

A: Now,

Q: photo attached

A: Given point can be written in vector form as,

Q: Find the distance between the line L1 through the points A(1, 0, -1) and B(-1, 1, 0) and the line L2…

A: Given:Find the distance between the line L1 through the points A (1, 0, -1) and B(-1, 1, 0) and the…

Q: Suppose U and W are vectors in R" then ||U +W|| - ||U|| + || W|| if the angle between U&W is equal…

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Q: Find the angle between the vectors (9, -2) and (-8, -3). Carry your intermediate computations to at…

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Q: If vector u =(7,6) and v= (-3,5) then  Find u•v

A: Given ,  If vector  u = (7,6)  v = (-3,5)  We have to find dot product u•v

Q: Find the angle 0 between the vectors. u = ( cos sin 4 v = ( cos sin 4 6 6. X radians

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Q: Find the angle between the vectors å = (4,3) and 5 = (2, –1). (First find an exact expression and…

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Q: The vector v and its initial point are given. Find the terminal point. = (4, -9); Initial point: (9,…

A: Given

Q: Find the angle between the vectors (5, -3) and (-9, -8). Carry your intermediate computations to at…

A: Using formula of Angle between two vectors.

Q: Find the angle 0 between the vectors. sin ). Зл v = ( cos 3N sin . 4 u = ( cos 6 4 = radians

A: Given,            u = cosπ6, sinπ6, v = cos3π4, sin3π4

Q: the angle made by vector A = 2 ax- ay +2 az and X-axis

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

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Q: Find the angle 0 between the vectors. Зя sin 4 - (cos - sin 3 u cos

A: see below explanation

Q: Find all unit vectors perpendicular to (3,1,4) that make equal angles with j and k.

A: Here we have to find the all unit vectors perpendicular to (3,1,4) that make equal angles with j and…

Q: The angle between the vectors = (6, -2, 3) and 7= (1, p, -2) is cos Determine the value of p.

A: Given:  The angle between the vectors a→=6, -2, 3 and b→=1, p, -2 is cos-1-114. To Find:  To…

Q: Two vectors u, v in Rº have lengths 4 and 4, respectively. It is also true that u- v = 0. What is…

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Q: The Nector goes from P = (2,0) to Pq = (-2,3). The A goes from and t W, Q=(2,0) to Q= (5,-1). Dran…

A: Vector addition

Q: Let u =⟨2,2,1⟩which makes an angle of 30∘ with v. If the dot product of vector u and v is 6. What is…

A: Given:   To determine: The magnitude of vector v

Q: Express à = (3, 1, –1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: It is known that two vectors are equal and represented by A- (2+3x)i + 11j and B- -7i + (3x + 2y)j…

A: if two vectors are equal then coefficients of I and j are same.

Q: Find the angle between the vectors (7, -6) and (7, 3). Carry your intermediate computations to at…

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Q: What is the angle (measured in radians) between the vectors (1,1) and (1+ 3,1 – V3)? 6 ONone of…

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Q: 1. The vector in the opposite direction to u = (-1,0) and of half its length is 2. The vector of…

A: 1.The vector is u=<-1,0>2.The vector is v=<-4,5,-3>

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

A: Using vector formula.

Q: Find the angle between the vectorså = (4, 3) and b = (2, –1). (First find an exact expression and…

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Q: Find the unit vector along the line joining point (2, 4, 4) to point ( - 3 , 2, 2). A) -0.8703ax -…

A: We can solve this as follows:

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: Find the given vector. Vector v = (x, y) of length 18 making an angle of 30° with the x-xis. (Use…

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Q: Find the angle θ between the two vectors.

A: We need to find the angle θ between the two vectors.

Q: Find the angle between the vectors (5, - 3) and (8, 7). Carry your intermediate computations to at…

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Q: Find the angle between vectors v = (1,2,3) and w = (2 -1, 4)

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Q: The relations between the unit vectors are ô, = ( sin 0 cos 4)ô, + ( sin 0 sin ø)ô, + ( cos 0)8, do…

A: We need to derive expressions A. 6-31, A.6-32, and A.6-33 by considering that A. 6-28, A.6-29, and…

Q: On a line r it is known that: it passes through the point P=(1,1,1), it is parallel to the plane…

A: Givenπ1  ;   x+3z=0point  p ;  (1,1,1)consider  α ,β ,γ be the unit vector  parallel to r

Q: Find the angle between the vectors. 5л 5x (cos COS sin J 5), v-(cos, sin ) 4 4 3 0 radians || = =

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Q: Find the angle between the vectors u and v if u (2,3,5) and v = : (1,–4,3) in (Ctrl) ►

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Q: The Cartesian components of the position vector r in a general coordinate system are given by 1 1 =…

A: As per the question we have to find the covariant and contravariant components of the base vectors…

Q: Find two vectors ūj and īz whose sum is (-5, –3), where vj is parallel to (2, 5) while īz is…

A: To find - Find two vectors v1¯ and v2¯ whose sum is -5, -3, where v1¯ is parallel to 2, 5 while v2¯…

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: A force of 15 Newton parallel to the vector V=3i+4j is applied to a point that moves on a line from…

A: We have to find work done.