-4] Question : For what value of "a" the vector v = 3 is linear a 3 combination of the vectors vị = -1|; v2 = -4 and v3 = 1 L-2] -7.

Q: 3. Write ū= as a sum of vectors, one in the direction of and another orthoganal to a. ā= [3] 图

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: (1) Find the area of the triangle and indicate its type.

A:

Q: Q1 Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find the unit vector of: (а) А-В+С (b) АхСхВ

A: The vector addition can be performed by the addition of the respective elements. The elements with…

Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 3 u+v=< U Find the components of the addition of the two vectors u and…

A: Topic = Vector

Q: mine the (smaller) angle between the two ve Sa - 7a +4a 0 r Ф 2a + a - 3a 0 1 Ф

A:

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = &lt;5, 7&gt; and v = &lt;-5, 2&gt; If x = &lt;a, b&gt; and y =&lt;c, d&gt;are two…

Q: As per attachment ,Which two vectors are parallel?

A: v1=4, 6,  v2=-3, -6,  v3=-8, 4  &amp;  v4=10, 15.

Q: Find the magnitude of vector v. -1 1 -1 -2 -3 -4 -5 1 2 V ليا 3 + 4 5 (4,-3) K H

A:

Q: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

A:

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

A:

Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

A:

Q: Q1: You have the following vectors: U= 6 2 4 V= 3 -2 3 0 3 W = -4 Z- 2 2 2 Which of the vector…

A:

Q: how can i learnd about vector in r2 and r3?

A:

Q: 1 V₁ = 2 - Copyright Texas State University, 2 3 rights reserved. V₂ = University, 2023 1 1 V3 =…

A:

Q: Your answer is correct. Suppose that vi - (2.4, 0, 7), v2 - (6,-3. 8. 3) and va - (-4,0,4, 5). Is…

A: The solution is given as

Q: Given the vectors ü = -i - 2j + 3k and i = - 2i + 6j – 3k. _17. The unit vector in he direction of v…

A: A unit vector perpendicular to a vector a→ is represented as follows: a^=a→a→

Q: Prove using vectors that the points represent the vertices of a triangle then (1) Find the area of…

A:

Q: b) For what values of h, vector u = (h, -3, -5) can be written as a linear combination of the…

A: Vector u= (h,-3,-5)Vector v1 = (1,0,-2)Vector v2 = (-2,1,7) Vector u can be written as linear…

Q: it = (1, 0) for the unit vector, Daf(-3, 4) = fay(-3, 4) to you. True False

A:

Q: 2: True or false, the vectors u = (2, 4,-2) and U=(4, 8, -4) are parallel. Explain your answer.

A: We have given two vectors,Vectors having the same direction are called parallel vectors.Two vectors…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.