Find a vector of magnitude 10 in the direction of v = 3i − 4k

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: Find the resultant vector A + B and the resultant angle with respect to positive x-axis where vector…

A: Since vectors are not given so lets understand the concept to add the two vectors. Parallelogram law…

Q: Find the resultant force of two vectors F = 5î + 2j and F = -2î - 8j. Graph the two vectors as well…

A:

Q: Find the angle between the vectors, and

A:

Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: Find the magnitude ||0|| of the vector ü = i- 3j. Round your answer to 2 places after the decimal…

A:

Q: Find the vector v that has a magnitude of 10 and a direction oppo- site that of the unit vector…

A: Let u be the required vector and given vector be v=35i-45k.

Q: 3. Find a unit vector in the direction of v. V = 20i – 21j

A:

Q: Find the unit vector u₁ in the direction of vi −1 = 3 4

A: Step 1:  Step 2: Step 3: Step 4:

Q: Find a unit vector in the same direction as a= i + j.

A: Unit Vector is represented by the symbol ‘^’, which is called a cap or hat, such as: a^. It is given…

Q: What is the magnitude of the vector (2, 4, –4)?

A: FORMULA

Q: Find the angle a in radians between the vectors απ -3] and

A: Step 1: Given vectors: u=[−3−1​] and v=[1−2​] Step 2: To find the angle 𝛼 between two vectors a and…

Q: Find the unit vector in the directions of v, where Ans = %3D

A: To find unit vector in the direction of v, divide it by the length of v.

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

A: Given vector is

Q: determine the magnitude of the vector ∥⟨2,8⟩∥

A: