Find a vector in the space which has positive components, the magnitude to be 3, and has the first two of its direction cosines to be cos a = . cos B = . O i +j +k O i +j -k O 2i -j + 2k O None of them O i + 2j + 2k

Q: Find the coordinate vector of p relative to {p,» P;» P3} for P,. the basis S =

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Q: 27. Find a unit vector that is orthogonal to both i +j and i+ k.

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Q: Given the vectors A=4 at 300, B= 6 at 1200, and C=7 at 1800. a) Find the new vector D=A+B+C b)…

A: (a) First plot the three vectors.

Q: Find the unit vector e, if i = ( – 2, 2) ey =

A: Given: v→=-2, 2 To find the unit vector ev→ The formula to calculate unit vector is ev→=v→v→

Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: A vector that is perpendicular to,both the vectors u=i-2j+k and v= i-j+k is O i - 2j + k None of the…

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Q: If u and are the vectors below, find the vector w whose tail is at the point halfway from the tip of…

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Q: Find AB and AC. (B): Find the unit vector perpendicular to the vectors: 3i - 4j+ 5k 4i + 5j-6k ; dw…

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Q: Find the magnitude R and direction 0 of the resultant vectors. 7.0N 5.0N 5.0N 6.0N 2.5N 80 20 30 10…

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…

Q: or what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) t =-2 DA. t = 2…

A: Given that vector 2t,1 paralle to the vector 4,-1find t

Q: Find the magnitude of vector u = 4i - 3j - 5k and simplify. O 2v3 O 3v2 None of these. 4 O 5/2

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Q: For what value of t , if any, is the vector (8t, 2) parallel to the vector (4, -1) ? 1 O A. t=- 4 В.…

A: Now we will find the value of t .

Q: 3. Find the following unit vectors: a. aCD in RCS b. aDE in CCS C. aEC in SCS

A: aCD in RCS is to be calculated: Converting D from CCS to RCS xD=5cos π=-5yD=5 sin π=0zD=-12 Hence,…

Q: For what value of t, if any, is the vector (2, -4t) paralel to the vector (4, -1) ? t O A -2 %3D 1…

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Which of the following vectors is parallel to the vector v -2i +j+ 2k O 2i -j-2k O 4i + 2j + 4k O 2i…

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Q: Find the value of y in ( 3x + 4yi)(6 -7i) = 3 + 5i  A. 1/20 c. 1/10  B. 3/20 d. -1/15   Q2: If…

A: We have to find the value of y.

Q: Find the vector whose magnitude is 5 and which is in the direction of the vector 4i- 3j + k. Q.2

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: Find a vector perpendicular to each of the given vector a = ßi +j+k ,b = 4i + aj – k. %3D |

A: Applying cross product we have

Q: If A=(rsinOcosð,-cos2OsinD, tan, Inr) at P(7,0.75 rad,1.83 rad), determine the vector component of A…

A: First we will convert component of az from given spherical coordinates using spherical to cartesian…

Q: Find a unit vector in the same direction as v = 2 V14 14 /14 O 1 3' 6 none of these 2 1. 1 7' 14'…

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Q: 1 For what value(s) of h is the vector b = -3 in the span of the vectors V1 ,V2=

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Q: Find the specified vector or scalar. u = 6i + 2j and v = 18i + 20j; Find v-u. O GV13 O V13 O 6V14 O…

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Q: 14. Find a vector perpendicular to both of the vectors * (ũ + v) and (ũ – v) where ủ = 2i – j + k,…

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Q: Which of the following vectors are equal to j × i?(a) i × k

A: We know that, i×j=k Therefore, j×i=-k Hence the answer.

Q: In Cª, find a unit vector ū that is a positive real number multiple of z = (1 – i, i, 2, 3+ 4i).

A: Introduction: For a given complex vector z=z1,z2,...,zn, its length is formulated as…

Q: Match each of the following vectors with its magnitude. t=(-7, 1) a. 5√2 u = -21-8j b. 2√√5 a vector…

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

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Q: Find a unit vector orthogonal to A in the plane of B and C if A = 2i - j + k, B = i + 2j + k, and C…

A: The given details are as follows.

Q: If a = i+5j + k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

A: We have to find

Q: If the vectors u and v are linearly independent with au + bv = 0 then a = b = 0 O a = 0 and b # 0 0…

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Q: Find the magnitude of the vector a and the smallest positive angle 0 from the positive x-axis to the…

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Q: 1. Use the vectors in the figure at the right to graph each of the following vectors on the plane…

A: Draw the correct vectors 2v & -3w than form the triangle sum.

Q: Find a unit vector v that is perpendicular to both of the vectors and Click 6 3 -6 ab insert a…

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Q: Let c, (t) = e'i + 7 sin(t)j + t*k and c2(t) = e-Sti + 3 cos(t)j – 41*k. (Enter your solution as a…

A: Solved below

Q: ..) Find a vector ğ so that if F{f} = (co, C, C2, C3) then Ff ® ğ = (co, 0, 3c2, 0). %3D 160

A: The objective is to find the vector g so that is F(f)=(c0,c1,c2,c3) Then, Ff⊙g=(c0,0,3c2,0) It is…

Q: Consider the vectors y= 3i + 4j + 5k and w= i + j + k. Express the given vector in terms of i, j and…

A: The given vectors v=3i+4j+5k and w=i+j+k

Q: Given the vectors A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. Determine the unit vector with…

A: This is a problem of vector Algebra.

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

A:

Q: Find a vector 5 units long in the direction opposite to the direction of v = (3/5)i + (4/5)k.

A: Given:

Q: Which of the following vectors is parallel to the vector v -2i +j-2k O 4i-2j+ 4k O 2i-j-2k O 2i…

A: the vector will be parallel if they are multiples of one another that is u=cv

Q: Given the vector A= 5ax +3ay -7az and B= 3ax +6ay-2az, find (a) a unit vector in the direction of…

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

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Q: Which of the following vectors is parallel to the vector v = 2i -j– 2k O 4i – 2j + 4k O 2i + j+ 2k…

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Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Find the vector that has the same direction as 2i + 3j – 6k but has length 5. -(i +j– k) а. b. 5(2i…

A: Given: A→=2i+3j-6k

Q: If a = i+ 4j + k and b = i + 8j + k, find a unit vector with positive first coordinate orthogonal to…

A: Given : a=i+4j+k and b=i+8j+k.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.