Determine the unit vector of r. B. 30 40

Q: IDENTIFY THE VECTORS DRAWN IN THE UNIT CELL. B A D

A: We mark x, y, z axis.  Since it is a unit cell, so it will be 1 unit length on all direction axis.…

Q: Find a unit vector u with the same direction as x = . 9 40. 41' 41 40 41' 40 9. 49' 49

A: The unit vector u in the direction same as x = <a, b> is given by, u=xx=a,ba2+b2

Q: Find the coordinate vector |x relative to the given base B={b, ,b2} -3 5

A: To the coordinate vector xβ=x1x2 such that…

Q: n angle of v in

A: To find : The direction angle of the vector Given : v =5i-6j

Q: u = 700i + 500j

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Q: Draw the vector to show: (а) (b) (c)

A: A→ = AxAy , This is the representation of vector in matrix form. These type of matrices are called…

Q: find the unit vector the same diection Soing in aoine V= -8i+l6i

A: Given:vector v=-8i+6jthe unit vector in the same direction of v is v→v→we know that v→=-82+62…

Q: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

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Q: Find a unit vector in the same direction as a= -5 i  -7 j

A: To find a unit vector in the direction of a given vector, divide the vector by its magnitude. like:…

Q: Find the angle between vectors 3 and 42.06 42 O 47.04° 42.6 47.4° 48°

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Q: 3і - бј — 2k

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Q: Example: Find the unit vector p for the given vector 12i – 3j – 4k.

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Q: 14. Draw the vector V that goes from the origin to the given point. Then write V in component form…

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Q: find the given vector. ev, where v = (1, 1, 2)

A: Consider the provided vector, v=1,1,2 Find the given vector. A unit vector just means a vector whose…

Q: Three vectors are given: A =il+j2+23,B= &4-§2+23, and C= -x4. Calculate: (a) A+B+C. (b) A+B-2C. (c)…

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Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

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Q: Determine whether the statement"If u = ai + bj is a unit vector, then a2 + b2 = 1." is true or…

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Q: 3. Add the vectors shown.

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Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: Determine the dot product uv, if |||| = 9 and |||| = the angle between the two ㅠ vectors is = 3…

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Q: Find the coordinate vector v for A relative to S = {A1,A2A3A4). A = ; Aj = A2 = Az = A4 = v =( i

A: we have to find

Q: Determine whether given vectors spans in R? S={(2,-1,4).(3,–3,5).(1.1.3)}

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Q: 47. Describe in words the vector shown in the diagram. 150 km/h 48. Draw the vector 75 m N70°W.

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Q: Find the magnitude of the vector ū = (2,3,7) Select one: 6. 42 62 42 62

A: Magnitude of vector u=ai+bj+ck is |u|=sqrt(a^2+b^2+c^2)

Q: Find the components and length of the following vectors:(a) i − 3j

A: The given vector is i-3jwe have to find component and length of the vector

Q: 2. Find the unique unit vector that bisects the angle between ī = 31 + 43 and w = 51 – 127.

A: The angle bisector is determined by the formula,

Q: a Find a vector of magnitude 5 that is in the opposite direction of a

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Q: The angle measure 5°. Can this represent a vector?

A: Vectors are quantities having both magnitude and direction. Two vectors can be add together , adding…

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: The following vector is a unit vector: na-(- E E V6' 6 1 O True O False

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Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

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Q: Given the vector component of D(2, − 6, − 5) and G(1, 2, 3), find the vector of D that is parallel…

A: Given:      D2,-6,-5       G1,2,3 Two vectors D and G are said to be parallel if their cross product…

Q: 7. Write the vector w in terms of u and v, given that the terminal point of w bisects the line…

A: This question is related to vectors, we will solve it using given information.

Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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Q: Find the magnitude and direction angle of the vector. u = -5i + 3j

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Q: Write the given vector in terms of i and j. ? = (1, 3)

A: (a,b) is written as : ai+bj

Q: Which vector is the result of a + b?

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Q: Find the magnitude of the vector (9, 12).

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Q: Which vector is not orthogonal to ū=? a. C. b. d.

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Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of…

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Q: 4 3 Which weights should be used for b = a, vị + a2 V2 to obtain the vector b = ? 2 a1 = Ex: 42 az =

A: Solve the following

Q: Find the magnitude of the resultant vector. (8, 10) (7, -1) [?] Round to the nearest tenth. 13

A: First find the resultant vector then take the magnitude.

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree: u = 13î – 8î and 3 = 2î…

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Q: Given the three vectors A, B, and D, show that A (B +D) = (A · B) + (A · D).

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Q: . The angle between A and B drawn tail to tail is 120°. Determine the unit vector in the

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Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

Q: Prove the property if a and b are vectors and m is a real number.m(a . b) = a . (mb)

A: Let a=a1, a2, a3   and  b=b1, b2, b3. This implies that,