Write the vector (-7,- 5) as a linear combination of the unit vectors i and j. (-7,-5) =- 7i - 5j (Type your answer in the form ai + bj.)

Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: For the pair of vectors, find U + V, U - v, and 2U – 4V. U = (5, 1), V = (-6, 3) U + V = U - V = 20…

A:

Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

A:

Q: Find a unit vector having the same direction as the given vector. (-7, 7)

A:

Q: Find the sum of the given vectors. а - (4, 0, 1), ь - (0, 5, 0) a + b Illustrate geometrically. a +b…

A: Given  The vectors  are  a =(4 ,0 ,1)  and  b= ( 0 , 5 , 0)

Q: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0,…

A:

Q: What is the component form of the vector represented by 2a when a (-23)7

A:

Q: For the pair of vectors, find U+V, U-V, and 3U-4V. U = , V = U+V = ? U-V = ? 3U-4V = ?

A:

Q: Find the vector 5u-2v given the vectors u = 4i+jand v = 5i-2j. Write your answer in the form ai+ bj.

A:

Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj.…

A:

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V U = 9, 5, V = 9, −5 U+V= U-V= 2U-3V=

A: We know that for two vectors a→=a1,a2 and b→=b1,b2, a→+b→=a1+b1,a2+b2         ⋯⋯1a→-b→=a1-b1,a2-b2…

Q: Write the vector v = ⟨2, -4, 4⟩ as a product of its magnitude and a unit vector with the same…

A: Given vector is  v=2,-4,4 Magnitude of vector v  is v=(2)2+(-4)2+(4)2=4+16+16=36=6 Now, unit vector…

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal…

Q: Write a vector equation for the line segment from P to Q. 4

A:

Q: Write a unit vector that points in the direction of the vector i+√2j+7k

A:

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

A:

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -…

A: We have to find out the vector

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A:

Q: 一1- 2. Write 3 as a linear combination of the vectors +

A:

Q: Write the vector as a linear combination of the unit vectors i and j.

A: Given two unit vectors i and j.  To write the linear combination of i and j.

Q: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3. 4 3 Ou-15i-20j

A: We have to find unit vector

Q: b) How do you tell if two vectors are perpendicular?

A:

Q: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

Q: Find a vector that is perpendicular to both and 2. A =-i - 2j +4k B = 4i - j

A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

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

A: We have to find

Q: photo attached

A: Given,

Q: C a

A:

Q: Find the vector -3u+4w given the vectors u = -i-4j and w =-2i+5j. Write your answer in the form…

A:

Q: Find the vector -5u-3v given the vectors u 5i+j and v = 2i-3j. Write your answer in the form ai+bj.…

A:

Q: Consider the vectors V1, V2, V3, and b. V1 4 V2 = 5, V3 6 ,b = 7

A:

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

A:

Q: Find the magnitude of the resultant vector. (-25.6, 7.7)- (-11, -9.8) 1R

A: letA→=-25.6, 7.7 and B→=-11,-9.8

Q: Find the vector -4u + 2v given the vectors u = 6i +j and v= 3i- 8j. Write your answer in the form a…

A:

Q: Find the direction of the resultant vector. (-25.6, 7.7) - [?]° (-11, -9.8) Round to the nearest…

A: topic - vectors

Q: The unit vector that has same direction as the vector from the point A(6, 8) to the point B(4, 10)…

A:

Q: What is the direction of the vector (8, -7)? A 41.19° B 138.81° с 221.19° D 318.81°

A:

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u- 31, v- 2i - 9j 2u - -3v - 3u - 4v…

A:

Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

A:

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v . u) –…

A: Given that u=2,2,  v=-5,1  and  w=2,-2.. Compute v·u as follows. v·u=-5,1·2,2=-52+12=-10+2=-8

Q: The area of the parallelogram with vectors R(1,2,-1), P2(4,2,-3), P3(6,-5,2).P4(9,-5,0) is a) 998 b)…

A: Consider the given vectors P11,2,-1,P24,2,-3,P36,-5,2, and P49,-5,0. Use the given vectors and draw…

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V. U = −9, 0, V = 0, 5

A:

Q: For the vector, find 1/2(V),−V, and 4V V= (-5,9)

A:

Q: Find the component form of the resultant vector. 6) а-(-6, -12) g = (-11, -9) Find: -a + g a

A:

Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

A:

Q: 3. Determine the vector equation for the line with symmetric equations X-3.922.231.

A: Compare the given equation with x-x1a=y-y1b=z-z1c so, we get the values x1=3y1=-2z1=1a=4b=5c=3

Q: photo attached

A: Given:U = <3, 3>V = <3, –3>

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.