MHT CET · Physics · Mathematics in Physics
\(\begin{aligned} & \text { If }|\vec{a}|=\sqrt{26},|\vec{b}|=7 \\ & |\vec{a} \times \vec{b}|=35 \text {, find } \vec{a} \cdot \vec{b}\end{aligned}\)
- A 4
- B 5
- C 6
- D 7
Answer & Solution
Correct Answer
(D) 7
Step-by-step Solution
Detailed explanation
\(\left|\vec{a} \times \vec{b}\right|^2 + \left(\vec{a} \cdot \vec{b}\right)^2 = \left|\vec{a}\right|^2 \left|\vec{b}\right|^2\) \((35)^2 + \left(\vec{a} \cdot \vec{b}\right)^2 = (\sqrt{26})^2 (7)^2\)
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