(B) Show that the area of triangle is - ÁxB (Using Vector method)

Q: What is a vector?

A: A quantity that has magnitude as well as direction is called a vector.

Q: 'he sum and difference of two vectors à and B are equal in magnitude. Prove lgebraically that the…

A: Given: A→+B→=A→-B→ The magnitude of sum of A →and B→ is , A→+B→=A2+B2+2ABcosθ The magnitude of…

Q: What is the relationship between vector subtraction and the basic vector operations of addition and…

A: What is the relationship between vector subtraction and the basic vector operations of addition and…

Q: A vector with magnitude 7 points in a direction 145 degrees counterclockwise from the positive x…

A:

Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

A: We have given a vector A of magnitude 35 m and makes angle 60∘ from the positive y-axis i.e. 30∘…

Q: What is meant by the term translation in vectors?

A:

Q: Find linearly independent vectors which generate al lutions of Ax = 0.

A:

Q: If a vector is multiplied by a positive scalar, how is the result re-lated to the original vector?…

A: Explanation:

Q: What is the cross product of the vectors 214 3k and 6.9- 3k ? Explain why your answer is conne ar…

A:

Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: What is the zero vector?

A: We have to define

Q: cannot be found in such a general cas explain why. In either case, justify you 2) Let a and b be two…

A:

Q: Find a vector that has the same direction as 8i-j+4K but has a length of 6

A:

Q: What is the resultant of vectors a and b? ( A ) GL B

A:

Q: Describe 2-dimentional vector addition for any scenario? Put your best example over here.

A:

Q: A three-dimensional unit vector parallel to the y-axis is

A:

Q: The cross product of two vectors in R yields a scalar. True False

A:

Q: The scalar projection of vector A onto another vector B will be the negative of that scalar…

A:

Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

A:

Q: find the diJ tance betueen the vectors

A:

Q: By using vector scalar multiplication and vector triple product, prove the identity below: Ã x [Ã x…

A:

Q: How do you find the vector component of one vector orthogonal to anothervector?

A: How do you find the vector component of one vector orthogonal to another vector?

Q: 2 nogonal to the vector

A: The coordinates of point M is 1,1,0 . The orthogonal vector to M is 200. The equation of the plane…

Q: 3 Determine the unit vectors that are nernendicular to A - and R -

A: Perpendicular vectors

Q: Find the magnitude of the projection of (– 5, – 7) onto the vector (– 8, - 4)

A:

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

A:

Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: a horizontal vector has initial point (-4,1) and has a magnitude of 7. What is the terminal point?…

A: The initial point of the vector is (-4, 1) and the magnitude of the vector is 7. Since it is a…

Q: Find the acute angle formed by two diagonals of a cube. (vectors) show complete solution.

A: It has been assumed that the length of each side of the cube is a unit.

Q: The terminal point of the vector v = 3i -j+ 5k with initial point (2, 5, -5) is Do not leave any…

A:

Q: Find a Vector ū: non zero Vector perpendicular to the

A:

Q: We have two vectors: a= a-(:) and b=() What is the resultant of -a plus b?

A:

Q: The scalar product of two vectors is defined as the product of their magnitudes times the of the…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Find a vector of length 3 pointing in the same direction as .

A: Find a vector of length 3 pointing in the same direction as 4,-3,-4

Q: uppose ā and b are two non-zero vectors in R3 and they are not parallel to each other. Then, their…

A:

Q: Is it possible to take a dot and cross product of a scalar with a vector? Explain with example.

A: It is not possible to take a dot and cross product of a scalar with a vector.

Q: If a vector is multiplied by a positive scalar, how is the result related to the original vector?…

A: Solution:- If a vector is multiplied by a positive scalar, how is the result related to the original…

Q: 1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

A: Given

Q: What is the resultant of vectors a and b? (

A:

Q: 1. Do the vectors 日 span R (over R)? Justify your answer (using methods and results that we have…

A:

Q: Explain the Combination of basis vectors.

A:

Q: When is a vector incomprehensible and when is a vector irrational?

A:

Q: 1. what is the basic concept of a vector?

A:

Q: Illustrate and explain how to compute the vector product of two vectors.

A: Given query is to find explain vector product.

Q: Find a unit vector u in the direction of v. Verify that llull=1 v=(-5,-3)

A:

Q: What is Vectors and vector addition? What are the vector components?

A: Vectors: A vector is what represents both magnitude and direction. Vectors can be decomposed into…

Q: Find the unit vectoru in the di rection of the vectorv=3(2, 2, 1).

A: