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Angle between Two Planes

If θ is the a...

Question

If θ is the angle between two vectors and , then only when

(A) (B)

(C) (D)

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Solution

Let θ be the angle between two vectors and.

Then, without loss of generality, and are non-zero vectors so that.

It is known that.

Hence, when.

The correct answer is B.

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\to a

\to b

are two vectors, such that

\to a \cdot \to b < 0

| \to a \cdot \to b | = | \to a \times \to b |

, then the angle between vectors

\to a

\to b

Q. If θ is the angle between two vectors

\vec{a} and \vec{b}, then \vec{a} \cdot \vec{b} \geq 0

0 < θ < \frac{π}{2}

0 \leq θ \leq \frac{π}{2}

(c) 0 < θ < π

(d) 0 ≤ θ ≤ π

If \to a

\to b

are vectors such that

| \to a \cdot \to b | = | \to a \times \to b |

\to a \cdot \to b < 0,

then the angle between

\to a

\to b

Choose the correct answer
If $θ$ is the angle between two vectors a and b, then $a . b \geq 0$ only when
a) $0 < θ < \frac{π}{2}$
b) $0 \leq θ < \frac{π}{2}$
c) $0 < θ < π$
d) $0 \leq θ \leq π$

If θ is the angle between any two vectors and, then when θisequal to

(A) 0 (B) (C) (D) π

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