If - A -2- B -5 and - A - B -8- Angle between A and B is acute- then A - B isA- 3B- 6C- 4D- 7

The correct option is B 6|A×B|=ABsin θ Putting the given values, 8 = (2)(5) sin θ ∴sin θ =45 or cos θ = 35 ∴A.B = AB cos θ =(2)(5) ( 35 )=6 ...

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Multiplication with Vectors

If | A |=2,| ...

Question

If $| \to A | = 2, | \to B | = 5$ and $| \to A \times \to B | = 8$ . Angle between $A$ and $B$ is acute, then $\to A . \to B$ is

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| \to A | = 2, | \to B | = 5

| \to A \times \to B | = 8

A

B

\to A . \to B

\to a

\to b

| \to a | = 1, | \to b | = 4

\to a \cdot \to b = 2

\to c = (2 \to a \times \to b) - 3 \to b

\to b

\to c

| a | = 1, | b | = 4, a \cdot b = 2

c = 2 a \times b - 3 b

b

c

\to a

\to b

| \to a | = 1,

| \to b | = 4

\to a \cdot \to b = 2.

\to c = (2 \to a \times \to b) - 3 \to b,

\to b

\to c

sec A \cdot cot B - sec A - 2 \cdot cot B + 2 = 0

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