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Vector Equation for Straight Line

If vector a×b...

Question

If vector a×b = 2i + 2j - k and vector 3a+b = 2i - 4j - 4k. Then find the minimum and maximum value of a.b ( ie the dot product of vector a and b).

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Q. The unit vector in the direction of sum of the vectors

\to A = 2 ˆ i + 4 ˆ j - 7 ˆ k

\to B = 4 ˆ i - 6 ˆ j + 4 ˆ k

Q. Find a vector of magnitude

3

and perpendicular to both the vectors

b = 2 i - 2 j + k

c = 2 i + 2 j + 3 k

Q. Find a vector of magnitude

3

and perpendicular to both the vectors

\to a = 2 ¯ i - 2 ¯ j + ¯ ¯ ¯ k

¯ ¯ b = 2 ¯ i + 2 ¯ j + 3 ¯ ¯ ¯ k

\to a = 1 + 4 j + 2 k

b = 3 i - 2 j + 7 k

c = 2 i - j + 4 k

. Find a vector

¯ ¯ ¯ d ⊥ ¯ ¯ ¯ a

¯ ¯ ¯ d ⊥ ¯ ¯ b

\to c \cdot \to d = 27

A B C

be a triangle. The position vectors of the vertices are

ˆ i + 2 ˆ j + 4 ˆ k, - 2 ˆ i + 2 ˆ j + ˆ k

2 ˆ i + 4 ˆ j - 3 ˆ k

respectively. Then

Δ

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Vector Equation for Straight Line

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