36) Find the values of x and So the vectors 2i+3 and xi +4j are equal.

Q: Find the length of the vectors (a) 2i⃗ +3j⃗ −k⃗

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Q: 1.) Find the area of the parallelogram with vectors as adjacent sides. и %3D (-2,9, —3) аnd v %3D…

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Q: Suppose u = (-3, 2) and v = (10, 2) are two vectors that form the sides of a parallelogram. Then the…

A:

Q: a vectors p = (2) and t = (,).

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Q: Find two unit vectors parallel to v = -2i + 5j – 3k.

A: Given:- v=-2i +5j-3k  To find:- Two units vectors parallel to given vector v

Q: What is the cross product of the vectorS 2i + 3j + k and 61 + 9j + 3k? Explain why your answer is…

A: Cross Product: Cross product of two vectors is the method of multiplication of two vectors. A cross…

Q: a) Let a = 2i – 3j + xk and b = -3i + j + xk. Find the values of x for which vectors a and b are at…

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Q: 19 Use the given vectors to find V.w and V-V V= 6i-25, w=-4i-3

A:

Q: 5. i ',, Find the solution space and write it as a linear combination of vectors. - x3 + 5x4 X2 +…

A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

Q: 2 Find the angle between two vectors Ā - Hax-Gay -89z B-Gax + 10ay + Saz

A: Angle between two vectors A⇀ and B⇀ is θ=cos-1A⇀·B⇀A⇀B⇀

Q: The cross product of the vectors a = 2i - j+ 3k and b= 4i – 2j + 6k is likely to be the zero vector…

A: If vectors are parallel then cross product will be zero check they parallel or not

Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: 02. Approve that the area of the parallelogram spanned by the vectors a- (2, -2, 1) and c= (-8, 8,…

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Q: (3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ…

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Q: 1. Assume the lengths of the vectors 2a – b and a + 3b , assuming a = (2,1,3) and b = (-1,2,2)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: 9. Find all the vectors with the length 6 units, which a = 2į +3j- 2k andh = i - 2j + 3k .…

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Q: Find the cross product of the vectors a = 2i + 3j – k, b =i- 2j + 2k.

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: 2. Determine the value of a for which the vectors b = ai – 5j+3k and 7 =i +2}-ak are orthogonal ?

A: Orthogonal Vectors: two vectors are orthogonal if they are perpendicular to each other. i.e. the dot…

Q: 27 -k are parallel. 2 Q.7 Show that the vectors 4i - 6j + 9k and -6i + 9j –

A: Two vectors are parallel if they are scalar multiple of one another i.e. if a & b are two non-…

Q: 19. Show that the pair of vectors 8i+j and i-8j is perpendicular.

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Q: What is the dot product of the vectors a = 4i + 3j and b = -3i + 4j?

A: Solution is given below:

Q: Two vectors ñ and m are said to be parallel if n-m-0

A: False

Q: Given the vectors v = 4i + 2j +k and w = 3i – 4j + k. Find | 2v – w |

A:

Q: 4. If two vectors P = 4i + 6j - 8k and F = 6i - 8j • 4k are added together describe the…

A: As we are solving only one problem at a time please submit the other question one by one as you…

Q: The cross product of two vectors 3i + 4j -5k and -i+j- 2k is * 3i -11j +7k O 31 +11j +7k O 31 -11j…

A: Use Cross product of vector

Q: We have two vectors: a= a-(:) and b=() What is the resultant of -a plus b?

A:

Q: What can be said about non-zero vectors ū, v and w if (ūxv)· w = 0?

A: Here use the definition of cross product and dot product of vector

Q: Two vectors ñ and m are said to be parallel if ñ-m-0

A:

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 two vectors v1 and v2 whose sum is , where v1 is parallel to while v2 is perpendicular to . v1…

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Q: 5 Given that p andr , find in column vector form: 4 p-r ep-2

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Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

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Q: Express the vectors in terms of their lengths anddirections. 2i - 3j + 6k

A: The given vector is a=2i-3j+6k. Compute the length of the vector as follows. a=22+-32+62=4+9+36=49=7…

Q: What is the value of each of the constants that are part of the linear combination between the…

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Q: 1. Find the angle between two vectors u = i-2j - 2k and v= 6i + 3j+2k.

A: Given two vectors u→=i-2j-2k and v→=6i+3j+2k. Here find the angle between two vectors.

Q: 3.10 Rotate the vectors 2 x1 := 3 [4] x2 := by 30°.

A: As we know that, the rotation matrix when the vector rotates about the z-axis in the…

Q: 2. The area of the triangle whose adjacent sides are the vectors u and v is a) Ju · v| c) |u x v|…

A: It is known that, the area of the triangle whose adjacent sides are the vectors A and B is 12A×B.

Q: Q2/ A- If this vectors are perpendicular? Prove that. A-3i +j-4k B-2i- 2j + k B- Solve that

A: Two vectors are perpendicular if and only if their dot-product is equal to zero. Dot product of two…

Q: 9. Find two unit vectors that are perpendicular to both j + 2k and i – 2j + 3k.

A: A vector perpendicular to both of the given vectors can be found out by finding the cross product of…

Q: (B): Find the unit vector perpendicular to the vectors: 4i + 5j - 6k 3i - 4j+5k ;

A:

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: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: Are the vectors v = 2i + 3j and w = 6i - 4j orthogonal?

A: Are the vectors v = 2i + 3j and w = 6i - 4j orthogonal?

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: Find the sum of the vectors - î + 23 + k and i = - î + 23 – 2k. %3D j +

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Q: If ả = 2ỉ + 33, b = j – ỉ and ở = 33 are vectors in 2D, then determine the of a + 3b + c

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Q: One of the components of cross ultiplication of the vectors A = 21 + 3 *:j + 4k and B = i-2j+3k is…

A: Given vectors are A=2i+3j+4k and B=i-2j+3k. Cross multiplication of given vectors is:…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: