Q2: Find the vector and unit vector (u) in the direction of the vector P2 (-3,0,6) to P1 = (4, 6, – 5).

Q: Find the coordinates of a point P on the line and a vector v parallel to the x - 7 y + 9 = z + 4…

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Q: Q2. 4 Consider the vector U and V -3 E R*, Find i. Dot Product of the two vectors U and 2 V ii.…

A: Please see the explanation below

Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

A:

Q: The wind is blowing at 20 miles per hour in the direction N30°W. Express its velocity as a vector v…

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

Q: Q3/B/ For what value of 2, the vectors 2i - j+ 2k and 3i + 22j are perpendicular?

A: We can use the concept of perpendicular vector their dot product is zero.

Q: Qe A) Find the Vector 5 unit length in the direction of vector perpendicu lar to the dane which…

A: Normal vector we have to find out.

Q: Find the positive value for which the vector r(t) (2t, 9t?, 10t2 – 2) is perpendicular to r'(t). -

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Q: Find the positive value for which the vector r(t) = (3t, 10t², 7t² – 2) is perpendicular to r'(t).

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Q: Find the equation for the plane through the point Po = (3,4,3) and normal to the vector n=21 + 7j +…

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Q: Q2: Find the angle between the vectors à and b where a = i+ 2j – k and b = -i+j-2k.

A: The angle between two vectors A→ and B→ is calculated as, cosθ=A→.B→AB The given vectors are,…

Q: Q2) if the vechrs V=-i +5 and ū=Tz i+5J+2 R Find a) The scalev component of ū in the divection of V…

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Q: Find the unit vector u in the directionof the vector v=(1, 2, -2). 8.

A: Given,           v=1,2,-2

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –…

A: Let's find.

Q: Write the vector x=0 as a linear combination of the vectors u=0, v= 1, w= 1 1

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Q: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: Find a non-zero vector & perpendicular to the vectors v = x = ► 3 H and u = 4

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Q: Find the vectors T, N, B at the given point where 0sts 2n. (1 3/3 8' r(t) =

A: We want to find the unit tangent vector , normal vector and Binormal vector

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 8t, y = 8 –…

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Q: Find the components of the vector ī, with |u| = 7.8 and 0 = 21.3°.

A: Given: To Find:  The components of given vector  Formula Used: The components of vector v with…

Q: H.W 8- Find a vector in the opposite direction of a = (4,10) but as long. 4

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Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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Q: What is the subtraction of Vector M from Vector T? M = 5 units T=4 units-

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Q: = ( The U 3 is a unit vector in V13' V13 .(2, 3) the direction of

A: We know a unit vector in the direction of vector U→ is given by : U→=U^U^

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 3t, y =…

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Q: Q1.A. For the figure shown below, at what condition the vectors X and Y are orthogonal B -B 1 1

A: Vectors

Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 –…

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: Find the projection of the vector v onto the vector w if v = 2i + j and w = 6i + 3j

A: we have given v and w vectors . We have to find the projection of the vector v onto the vector w

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the value of b?.

A: We know that if two vectors are perpendicular to each other then there dot product is zero. Given,…

Q: Q/ Find the Unit Vector perpendicular to the Plane 2X+22-4Y=3

A: An equation of a plane 2X + 2Z - 4Y = 3 To Find: Unit vector perpendicular to the  given plane…

Q: Given the vector function 7 (t) = (3t, 5t", – 3t° + 2) - Find the velocity and acceleration vectors…

A: Given that vector function r→ t=3t,5t2,-3t5+2 To find the velocity and acceleration at t=-1Solution…

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 7t, y = 4…

A: The equation of the line is x=7t, y=4-t, z=1+9t The equation of the line in symmetric form  is…

Q: H.W 9- Given that a = (1,1) and b = (-1,0). Find a vector in the same direction as but a+b %3D %3D…

A: Given: a→=1,1, b→=-1,0 To find: A vector in the same direction as but a→+b→ five times as long.

Q: Q3) Find the vector ž, which is perpendicular to vectors ã = (2,3, –1) and b = (1,–2,3) and…

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Q: Find unit vectors Parallel to the YZ Plaane and PerPendicular to the Vector V = 51-j+2k ?

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Q: Find self-value and self-vectors.

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Q: Find the angle a between the vectors 日- 2 and a =

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Q: Q1// Determine äxb if å=3i-5 j+7k and b=2i-6j+4k and check if resultant vector are perpendicular to…

A: Given,           a→=3i-5j+7k and b→=2i-6j+4kTo find: a→ × b→

Q: What value(s) of a are necessary for vectors i = (2, a), and w = (4a, 3) to span R?

A:

Q: Q1. A- Find the cross product (uxv) of vector (u = i – 2j + 5k) and vector ( v=). Are the two…

A: Topic = Vector If the cross product of two vectors is zero it means both are parallel to each other.

Q: Qe A Find the Vector 5 unit length in the direction of vector perpendicular to the lane which passes…

A: We have to find the normal vector first.

Q: Find the positive t when the vector r(t) = (7t, 6t², 9t2 3) is perpendicular to r'(t). - t =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (b) Find the direction e of the vector u = .(angle between the positive x-axis and the vector)

A: Topic = vector

Q: Q2. (c) Find the unit vector u that has the same direction as v= (2, 2, -1).

A: Given; vector v=(2,2,-1)

Q: Find a unit vector u in the direction of the given vector. (- 1,2)

A: The given vector is, < -1, 2 >.

Q: Let r (t) = |r (t)| = ( the length of the vector is round to one decimal

A:

Q: R) Find the area of a triangle formmed from the two - = c'+2j=k-- - 2i-jtuk. Vectors-a- 6 = 2i-j+4k,

A: Given: a=i^+2j^−k^b=2i^−j^+4k^

Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.