Suppose f(x, y): = 2 and u is the unit vector in the direction of (2, -1). Then, x² + y² (a) ▼ f(x, y) =. Your answer should be a vector (b) Vf(1,4)= Your answer should be a vector (c) fu (1,4)= Du f(1, 4) = Your answer should be a number

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

Q: A straight line has vector equation given by r=(1-A)i+(3+2A)j.How far is this line from the origin?

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: Find  vector z + vector y if vector z= and vector y= . graph

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Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

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Q: 01/ Determine if the two vectors are parallel, orthogonal or neither. j = (4,-2,7), i = -37 + j + 2k

A: The given vectors are                                   p→=-3i^+j^+2k^                         and…

Q: Let / denote the line in R with equation y = = 3x - 2. Let Q = (2, -1). (a) Write the line / in…

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Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

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Q: Line E goes through the points (1, 5, 2) and has the direction vector ⟨2, 2, 3⟩. Line F goes through…

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Q: Find the B-coordinate vector for p(t) = -6+10t-7t² B={1-2t+t², 4-7t +5t², 5-8t+8t²} Enter your…

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Q: Find the vector equation of the line that contains the points (-17, 10,2). r(t)= ( ) +t ( and

A: Answer :

Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

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Q: Q3/A/ If ā = i – 2j + k , Find: i) (ā x b). (ā x c) ii) (ā × 5) × (ā x c) tho vectors 2i - i+ 2k and…

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Q: Let x and y be unit vectors. Find the value of (x-10y) (x+10y) (x - 10y) (x+10y) =

A: Given that 'x' and 'y' be the unit vectors. To find the value of

Q: b) For what values of h, vector u = (h, -3, -5) can be written as a linear combination of the…

A: Vector u= (h,-3,-5)Vector v1 = (1,0,-2)Vector v2 = (-2,1,7) Vector u can be written as linear…

Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…