Given u= -i + j and v= i+9j, find the dot product u v.

Q: Use the properties of the dot product to evaluate the expression, assuming that u · v = 2, ||u|| =…

A: Given that, u · v = 2, ||u|| = 1, and ||v|| = 3. To find, u · (4v)

Q: Use the dot product to determine whether v = i + j and w = -i + j are orthogonal.

A:

Q: Find the component form of v, where u = 2i – j and w = i + 2j. V u + 2w

A: Given: To Find:

Q: Find the dot product v*w and the angle between v and w. v = 2i + 2j - k, w = i + 2j + 3k

A:

Q: Use the dot product to determine whether v = 5i and w = -6j are orthogonal.

A: Given:

Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle…

A: Solution is given below:

Q: If v = 7i - 4j and w = 2i - j, find the dot product w.v

A: Given, v = 7i - 4j  and w = 2i - j

Q: Find the angle between u=i_2j_2k and v=6i+3j+2k

A:

Q: Use the properties of the dot product to evaluate the expression, assuming that u · v = 2, ||u|| =…

A: dot product: a→.b→ = abcosθ θ is angle between a→ and b.→ u · v = 2 ||u|| = 1  ||v|| = 3

Q: For the given vectors u and v, find the cross product u × v. u = i + j + k,  v = 3i − 2k

A: Given the vectors u and v, u = i + j + k,  v = 3i − 2k

Q: Find the dot product v*w and the angle between v and w. v = 2i + j - 3k, w = i + 2j + 2k

A:

Q: Use the alternative form of the dot product to find u · v. |lu|| = 50, ||v|| = 20, and the angle…

A: Given: u=50, v=20 and angle between u and v is 5π6 We know that u·v = uvcosθ, where θ is the angle…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: Use the dot product to find the magnitude of u. u= 24i – 28j a. 1362

A: detailed solution is given below

Q: For v = - 2i - j and w = 2i + j, find the dot product v # wand the angle between v and w.

A: Given: v=-2i-jw=2i+j To Find: The dot product of v and w and angle between v and w

Q: Use the alternative form of the dot product to find u · v. ||u|| = 50, ||v|| = 35, and the angle…

A:

Q: Find the value(s) of a making i = 2ai – 3j parallel to u = a? i+3j. %3D a = (If there is more than…

A:

Q: Use the alternative form of the dot product to find u · v. |lu || = 30, ||v || = 10, and the angle…

A: Let's find.

Q: Find the dot product v. 0. v = 7i+ 9j, O -54 O 138 O 84 No new data

A:

Q: use the properties of the dot product to evaluate the expression, assuming that u · v = 2, u = 1,…

A:

Q: Find the value(s) of a making i = 4a i 3j parallel to u = a² i + 33. %3D a = (If there is more than…

A:

Q: Use the alternative form of the dot product to find u V. |u|| = 35, ||v || = 40, and the angle…

A:

Q: find the projection of u along v  u = i + 29k, v = j

A:

Q: Use the dot product to find the magnitude of u if u = 5i + 6j.

A: Given query is to find the magnitude of vector u.

Q: Use the dot product to determine whether v = 5i and w = -6i are orthogonal.

A: The given vector is v=5i  and  w=6i known fact: Two vectors a and b are orthogonal (perpendicular)…

Q: u=(+4,-9) and V=(3,-2) 0 Find the dot product of = %3D

A: Given: Vectors: u=(-4,-9)v=(3,-2)

Q: Use the right-hand rule and the properties of the cross product to make the following calculations.…

A:

Q: If v = 5i - 2j and w = -3i + 4j, find the dot product w.v

A:

Q: Use the dot product to determine whether v = 3i and w = -4i are orthogonal.

A: Let "." represent the dot product Dot product = v.w Two vectors u and v whose dot product is u·v=0…

Q: Given v-5i+2j and w=2i-4j, find the dot product v-w.

A: The solution for the above question is as shown below.

Q: For the given vectors a and b, find the cross product a x b. a = 6i – j, b = -6j + k %3D %3D a x b =

A:

Q: Find the cross product a x b. a = i + e'j + e-tk, b = 5i + e'j - e-tk

A: The cross product of a and b is:

Q: Find the dot product v*w and the angle between v and w. v = i - 3j, w = - i + j

A: Given: v=i-3jw=-i+j……1

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: find U.V. where is the angle between u and v 11011=80,1 vll = 220 %3D %3D

A:

Q: Find the dot product v • w. v= i+ 3j, w= 7i -j

A: Given,           v=i+3j , w=7i-j

Q: Use the alternative form of the dot product to find u· v. ||u|| = 45, ||v || = 20, and the angle…

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

Q: For the given vectors u and v, find the cross product u × v. u = 7i − j,  v = −7j + k

A: Given : u=7i-j  and v=-7j+k To find: The cross product of u and v : u x v

Q: Given v = 3i+7j & w = 4i-5j, find the dot product.

A:

Q: Find the dot product v•w and the angle between v and w. v=i-k, w=i-j+k

A: here we have to find the dot product and angle between given vectors. the solutions is following.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: Use the alternative form of the dot product to find u · v. ||u|| = 35, ||v|| = 45, and the angle…

A:

Q: Q9) The scalar product with angle 180° would produce

A: The scalar product of two vectors A→ and B→ is given byA→·B→=AB cosθWhere,A is magnitude of A→B is…

Q: Find the dot product v• w and the angle between v and w. v= - 4i +j+ 2k, w = 3i +4j + k

A: The given vectors are: v=-4i+j+2k, w=3i+4j+k

Q: et a = = = ci + j and b = 4i + 20j. Find c so that a and b are orthogonal. i

A: Please refer to the image below

Q: Show answer clearly.

A: To determine the dot product.

Q: Find the component form of v, where u = 2i – j and w = i + 2j. V = u + 2w

A: Given:

Q: ii) Write i = ū|| + ū̟ where ūj is parallel to ở and ū̟ is orthogonal to 7.

A:

Q: Use the dot product to determine whether v = 3i and w = -4j are orthogonal.

A: To check: whether the two vectors  v=3i and w=-4j are orthogonal or not. Concept used: The two…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.