3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b are parallel.

Q: Q4 find the length for the following vectors :- a) 2i + j - 2k b) 3i - 6j + 2k c) i +4j - 8k d) 9i -…

A:

Q: sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k,…

A:

Q: Find the vector projection of v = -6i + 10j – konto w = = 2i + j − k (Give your answer using…

A: The given two vectors are  v=-6i+10j-k  and w=2i+j-k

Q: Given the vectors À=10a¸+4a_− a A y B=2a - 3 - 3a + 5a y Evaluate the following → 2A+a 32.4902a -…

A:

Q: Find a non-zero vector perpendicular to the vectors and ú =

A:

Q: (3) For what value of a the vectors: a = 51 +6j-k and b=2i+(3+a)j- ak A. B = AB cos 90º =…

A:

Q: 8. If you know that the vectors a = 4i-j + 2k and b =4i-2j-5k, then the lengthvector %3D a - 2b = A.…

A: To find: The length of the vector a→-2b→. Given: The vectors are a→=4i-j+2k and b→=4i-2j-5k. Concept…

Q: Suppose we know that Write A 6 as a linear combination of the vectors 5 8- 5 6 = 0 H + 6 1 1 -DE-B H…

A:

Q: 2. Consider the two vectors in R³ with components u = (2,-1,-1) and v = (-2,1+ √√3,1-√3). (a) (12…

A: Step 1: Step 2: Step 3: Step 4:

Q: Given two Vectors U = [4 +2]. an .and V= Find U+12V Draw Vectors U and V and 10+ as arrows in a…

A: U=25 and V=82

Q: 3. Add the vectors shown.

A:

Q: Construct the vectors a = 3k - 2j and b = 3i - 2j and c = ax b. Compute the absolute value of the…

A: Given data : a⇀=3k-2jb⇀=3i-2j To calculate c=a×b The value a×b=ijk0-233-20

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

A:

Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

A:

Q: 2. If a --i+3j-k and E-2itj-3K decompose vectoes E into the sum of two vectors, one is paralled and…

A: This question can be solved using the concept of condition of two vectors to be parallel and…

Q: Consider the following vectors. - (1.80 m)i + (3.00 m) 3 -(-4.00 m) i-(5.80 m) B: 4.50 m, at +65.0⁰…

A: Given that A= (1.80m)i+(3.00m)jB=(4.50m) at +65.000B=4.50m cos 650+4.50 sin 650B=1.90i+4.08jC=-4 i…

Q: (b) 4x Find any values of x such that the vectors 3 and are parallel X-1 to each other.

A:

Q: Find the cross product of the vectors ä = and b = .

A:

Q: 9. Find all the vectors with the length 6 units, which a = 2į +3j- 2k andh = i - 2j + 3k .…

A:

Q: 5. Let A = (4,3), B = (0, 1), and C = (−3, 7). (a) Find the vectors AB, BC, and AT. (b) Prove that…

A: Step 1:It is provided that, A=(4,3),B=(0,1), and C=(−3,7). (a) Then, it is obtained:AB=B−A…

Q: Find the value of k for which the vectors 4 4 -5 X = || = 4 and y = 0 1 -2 k are orthogonal.

A:

Q: Find the area of the parallelogram spanned by the vectors -i+ 2j and i - j.

A: