Points A, B, C and D have the position vectors 3i+j+2k, 2i-5j-4k, 2i+6j-5k and i+4j+8k respectively. a) Find the vector equation of the line DC. b) Determine the angle CAB. c) Find a vector n which is perpendicular to both AB and DC.

Q: Determine whether or not the lines OB and BC intersect Find the Cartesian equation of the plane II,,…

A:

Q: 3) The lines I and m have vector equations r = (3i + 6j + k) + s(2i + 3j - k) and a) Determine…

A:

Q: Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric…

A:

Q: A=-i+2j-2k, B =2i+j-k and C=i+2j+3k vectors are given: a)Find the vector R1 = A+2B-C  b)Calculate…

A: Given A= - i + 2 j - 2 k B = 2 i + j - k C= i + 2 j + 3 k  To evaluate, a)Find the vector R 1 = A +…

Q: Y. mph x, mph -140 40 mph a) Find the vector 2 in rectunguler form by adding vectors A and B. b)…

A: The rectangular form of complex number is given by z=x+iy where x, y belongs to real numbers. The…

Q: Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle…

A: Given the vector A=-ax+2ay+3azB=3ax+4ay+5azC=2ax-2ay+7az

Q: Given the vectors u=-i+3j, v=6i-6j, w=-5i+3j, carry out the designated equation. V*(u+v)

A:

Q: If a, b and care non-coplanar vectors, prove that the four points 2a+3b-c, a-2b+3c -> 3g+4b-2c and…

A:

Q: The position vector of points A, B and C is OA=i+mj+2k,OB =-i+2j- OC = 2i +nj+3k where O is origin,…

A:

Q: If a line is parallel to the vector 4i + 10j + 7k and passes through the point P = (7,7,4), then the…

A: Solution

Q: a) Add three vectors A, B, and C to get vector R components Rx and Ry the magnitude R and angle of…

A: Plot the horizontal and vertical components for the vector A.

Q: Consider the vectors: a = -11î + 10j +–12k, b = 2î + -8j + -12K, c = -7î +-10j + 10k a) Find: bxc =…

A:

Q: Vectors m and 2m have: a) the same direction but different magnitudes. O b) different magnitudes and…

A:

Q: Given vector b = −2i - 4j + 8k and c = Bi+j-2k. c 1) Find the value of ß if vector b and care…

A: we need to find the value of β and the unit vector c^ in the opposite direction of c.

Q: ren vector A = -3î + 4j and B = i + 2j. Find vector V where magnitude is 3 and the vector is allel…

A: Parallel vector and magnitude is 3

Q: Three vectors a, b, and , each have a magnitude of 42.0 m and lie in an xy plane. Their directions…

A:

Q: If a line is parallel to the vector 6i + 7j+ 2k and passes through the point P= (5, 1,7), then the…

A: Given that a line is parallel to the vector 6i+7j+2k and passes through the point P=5, 1, 7. We know…

Q: Points A and B are defined by the position vectors a = i + 3j – k and b = i + 2j + 2k. a Find â. b…

A:

Q: 5. Given vectors å = (2,5, –5) and b = 21 - 7j + 3k a) Find å + b and write the answer in the…

A:

Q: 1. For two vectors: B=6â, +2â, -4â, A=4â, -10â, +5â a) Find the angle between these vectors. b)…

A: Given two vector  We have to find the angle between the two vectors.

Q: 2. Add vectors 2i-2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

A: Given that two vector A = 2i - 2j and vector B = i + 5j

Q: Find 9a + 76, la, and la -6. (Simplify your vectors completely.) a=9i8j+7k, b =77-9k

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.