) The magnitude of the vector a = 2i – 3j is

Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: Find a vector of magnitude 7 in the direction of v = 12i - 5k

A: Given vector is v = 12i – 5k. First find the direction of the given vector

Q: Find the angle e between the vectors i + 2j - 3k and -i + 2j + k.

A:

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i + j, v = i + 2j - k

A: Now,

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 6i +…

A:

Q: and notm ind the unit vector of V= 31 +5j -9k.

A: Given: v=3i+5j-9k To find: Unit vector of v Norm of v

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i - 2j + k, v = 3i +…

A:

Q: Find the angle between the vectors u = ⟨3, 1⟩, v = ⟨2, −1⟩     (a) in radians and (b) in degrees.

A:

Q: a/Find the length and diredtion of the vector 式ド、で Aュ2i+3k where や ノ

A: The given question is from vector and can be solved as shown in step2

Q: Find the magnitude of the vector 3i - 3j. 18 O 23 0 6 312

A:

Q: Find the given vector : Vector of length 3 in the direction of v = 4i + 3j

A:

Q: 3) Find the components of the vector i that has a magnitude of |0| = 9750N and direction 0 = 243.0°-…

A: Find the components of vector v. |V| = 9750 θ= 243.0o

Q: Find the magnitude of the vector and the angle 6,0° <0<360°, that the vector makes with the positive…

A:

Q: Find the angle between the vectors u = 2i +j+9k, v = 6i – 12j and sketch the vectors and the angle…

A:

Q: 18 Find the Unit Vector that has the Same direction as vector V = 8i-6j

A: Given :  V = 8i - 6j

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

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

A:

Q: The angle between the vectors A = 17- 31+4 k and B= 5î -3ĵ+0 k, in term of cose is Answer:

A:

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = i+j - k.

A: here we use the formula , v→=-v→v→

Q: find the cosine of the angle between the vectors. 3i + k, i + j + k

A: Let,u = 3i+kv = i+j+kFormula for finding the cosine of the angle between two vectors is given by -…

Q: 4.9. Find the vector v with magnitude ||v|| = 8 that has the same direction as vector u =

A:

Q: The vector u has length 10 and points at an angle of 15∘ The vector v has length 18 and points at an…

A:

Q: The angle between the vectors i + 2j + k and 3i+ j - 5k is

A: Given: Let, A=i+2j+kB=3i+j−5k

Q: 6. Find the unit vector that has the same direction as the vector v = 3i- 2j

A:

Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: The vector u has length 14 and points at an angle of 20° The vector v has length 16 and points at an…

A:

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = ± i + ±j - k.

A: Let u be the vector to be found. To find u, first we need to find the direction of the vector v. To…

Q: If (a,ß.r) is a vector of magnitude 24 and having the same direction as the vector (1,-22,-2), then…

A:

Q: Find a unit vector that has the same direction as  4i − j + 8k.

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

Q: Find the magnitude of this vector U=9i + 12j

A:

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = √3i - 7j, v = √3i + j -…

A: Given:u=3i-7jv=3i+j-2kAngle:cosθ=u→.v→u→.v→

Q: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: Find the angle between the given vectors to the nearest tenth of a degree. U = 13i - 4j, V = 2i +…

A: For two vectors a and b we know that their do product is a·b=abcosθthen cosθ=a·bab…

Q: Given these vectors find the sum of U+V (Question in the provided attached photo)

A: Given these vectors find the sum of u+v.    u=-4,-4 and v=1,8

Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

A:

Q: Find the magnitude of the vector y = 2i-2i. v =

A: Given,           v=2i-2j

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

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Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

A:

Q: 1. Find the angle that the vector V = makes with the positive x axis.

A:

Q: Find a vector in the direction opposite that of v = (1, –4) with magnitude 5.

A: The vector in the opposite direction of v will be -v. Then make that vector a unit vector and then…

Q: Find the angle between the vectors u = 3i + 2j + k, v = 2i − 3j (a) in radians and (b) in degrees.

A: Vector: u=3i+2j+k v=2i-3j u=&lt;3,2,1&gt; v=&lt;2,-3,0&gt;

Q: Find the angle θ between the given vectors to the nearest tenth of a degree. ​ U = 16i − 8j V =…

A:

Q: Find a unit vector that has the same direction as the given vector. 7i - j+ 5k i + j+ k

A:

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: What is the magnitude of the Vector PQ. P=(1,11) and Q= (9,3)

A:

Q: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…