Let u = (-3, 2) and v = (6, –2). a) Find u – 3v. b) Find Ju + v|. c) Find u· v. d) Are u and v orthogonal? Explain.

Q: 23. Evaluate (x8(x² - 2x - 3)dx A)1 BIO C)-I D12 E)-2 24. For a constant vector E, find the constant…

A: Let us solve above problem.

Q: Which ONE of the following formulas involving vectors a, b.c, a # 0 is meaningless? A. B. Oc. (a…

A: We have to find which formulas involving vectors  a→,b→,c→ and vector a→ does not equal to zero…

Q: Define vectors v = 3i - 2j and w = -2i + 4j. Blank 1: Find w - v. Blank 2: Find ||2v+w|l.

A:

Q: Find the distance between u and v. (2, − 1, 3, 1), v = u = (2, 02√2 3 √13 √11 (1, − 1, 1, 3); = u ·…

A:

Q: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

A:

Q: Determine whether u 17. (Notation means perpendicular; i.e., u v means u and u are orthogonal.) (a)…

A: If the vector two vectors are orthogonal then their dot product is zero.The given vectors are:Now…

Q: Determine the value of k for which the vectors u and v are orhogonal u = (1, k, –3), v = (2k, –5, 6+…

A:

Q: Let u=(-1,37 and u =< 2,-57 Find the Component form of the vector Su-V

A:

Q: 1. Let = =(3, 2, 1) and 5 = (-4,3₁-1) e) Evaluate (3a+46) (3a - 4b). f) Find the angle between a and…

A:

Q: (c) Determine whether the set R², with the operations (x₁, y₁) + (x₂, y/₂) = (x,,0) and c(x, y) =…

A: Let V be the vector space if  1 If u,v∈V  then u+v ∈V 2.  u+v=v+u 3. (u+v)+w=u+(v+w) 4. Identity…

Q: Choose x such that the following two vectors are parallel u = (-5, 7, – 9) and v = (25, x, 45)> -7…

A:

Q: [10 670 -1 3 0, B = 3 1 -2,C= L2 2 1 Let A = 1 -2 31 2 -5 51 -31 - 9 17 a) Find A-¹, then use it to…

A:

Q: Let v = (5,1,-2) and w =(4,-4,3). Calculate v w.

A: Given,v=5i+j-2kw=4i-4j+3kWe know that if (a1i+b1j+c1k).(…

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

A:

Q: Q2: If it wasA = 3i -j+2k , B = 2i + 3j -k find 1. 4Ã + 2B 2. ÀxB 3. The angle between the two…

A: we know thatA→=ai+bj+ck=a2+b2+c2sinθ=A→×B→A→B→A→×B→=ijkabcnlmwhere…

Q: Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

A: Given vector is u→=−4,−2,7,−3 and v→=−3,1,5,8. We have to calculate the u→⋅v→.…

Q: For the vectors u = (1, 2, 0) and v = (2, 1, 3) , evaluate the following expressions. a. 2u + 4v c.…

A:

Q: Let u= The length of u is 4.  Find the direction.

A: Given a vector. We need to find the direction of the given vector.