Consider the vectors a = 6i + 7j + 6k and b = 4i − j + 8k, where i, j, and k are mutuallyperpendicular unit vectors forming a right-handed system. (b) (i) If c = c1i + c2j + 12k is parallel to the vector a above, determine the values of c1 and c2. (ii) If d = d1i + 12j + d3k is perpendicular to both a and b above, determine the values of d1 and d3

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: Find the value of a so that the vectors a = (34, -22, 49), b= (5, 51, 35). and c = (a, -394, -14)…

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: The figure below shows four named points A, B, C, and D on a grid generated by two vectors ₁, ₂ in…

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: Three vectors (PQ), (PR), (QR) have been written in matrix form as shown below: 2 -17 PQ1 1 PR = -2…

A:

Q: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are…

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

A:

Q: Calculate the cross product. (5i - 3j + 8k) × (i + j − 8k) = ai + bj + ck (Give your answer using…

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: 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: Determine whether v = 3i - 5j and w = 6i - 10j are parallel,orthogonal, or neither.

A:

Q: Consider the vectors a = 6i + 7j + 6k and b = 4i − j + 8k, where i, j, and k are…

A: Given vectors a = 6i + 7j + 6k and                        b = 4i − j + 8k, where i, j, and k are…

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

A:

Q: Are the vectors = [−5_3 −1], v = [02-1] and w = [-25 21 -8] linearly independent? Choose If they are…

A:

Q: A= 2i+3j+4k, B=i-2j+3k

A:

Q: Find the vector w of length 4 in the direction of v = 7i + 4j. (Give your answer using component…

A: NOTE: Refresh your page if you can't see any equations. . find the norm of the vector

Q: If a, b and c are three non-coplanar vectors, then find the value of a.(bxc) b.(cxa) c.(bxa) +…

A: Use the properties of vector box product as follows: a→.(b→×c→)=[a→ b→ c→]=[b→ c→ a→]=[c→ a→…