Q3- Given two vectors P = 3i+aj-2 k and Q = 27-3j+5 k. Find a to get P and Q perpendiculars.
Q3- Given two vectors P = 3i+aj-2 k and Q = 27-3j+5 k. Find a to get P and Q perpendiculars.
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![Q3- Given two vectors P = 3ỉ + aj − 2 k and Q = 2 ỉ − 3 j + 5 k. Find a to get P and Q
perpendiculars.
-í + j - k, B = 2i+3 j – k and C = í+ j.
a/ Find Ả x B, B xÃ, (Ả×B)×C and Ả × (B x C). Conclude.
b/ Find the unit vector perpendicular to A and B.
Q5- Given three vectors à = ỉ – j, B = ỉ + k and Č = j − k.
a/ Compare Ả - (B x C), B (C × Ã) and C - (ẢxB)
.
b/ Calculate A. (Ả × B)
Q4- Given three vectors A
=
dẢ
Q6- Show that if the magnitude of a vector A is constant then A
dt
Q7- The position vector
=
(2t² − 3t) i + 5cost ] – 3sint k
-
=
0. (Hint: Ả - Ả = A)
Os.
a/ Find the velocity vector of the particle and its speed at t
=
b/ Find the acceleration vector of the particle and the magnitude at t = 0 s.
Q8-A buzzing fly moves in a helical path given by the equation:
r = bsinwt i + bcoswt ] + ct² k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6981d505-0336-4a01-9192-839f2275a161%2Febea2981-1792-4147-a96f-b2bbe090f451%2F3tcxdj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3- Given two vectors P = 3ỉ + aj − 2 k and Q = 2 ỉ − 3 j + 5 k. Find a to get P and Q
perpendiculars.
-í + j - k, B = 2i+3 j – k and C = í+ j.
a/ Find Ả x B, B xÃ, (Ả×B)×C and Ả × (B x C). Conclude.
b/ Find the unit vector perpendicular to A and B.
Q5- Given three vectors à = ỉ – j, B = ỉ + k and Č = j − k.
a/ Compare Ả - (B x C), B (C × Ã) and C - (ẢxB)
.
b/ Calculate A. (Ả × B)
Q4- Given three vectors A
=
dẢ
Q6- Show that if the magnitude of a vector A is constant then A
dt
Q7- The position vector
=
(2t² − 3t) i + 5cost ] – 3sint k
-
=
0. (Hint: Ả - Ả = A)
Os.
a/ Find the velocity vector of the particle and its speed at t
=
b/ Find the acceleration vector of the particle and the magnitude at t = 0 s.
Q8-A buzzing fly moves in a helical path given by the equation:
r = bsinwt i + bcoswt ] + ct² k
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